Annali di Matematica Pura ed Applicata (1923 -), ISSN 0373-3114, 10/2019, Volume 198, Issue 5, pp. 1835 - 1860

The principle of optimizing inequalities, or their equivalent operator theoretic formulation, is well established in analysis. For an operator, this...

Primary 44A15 | Rearrangement invariant space | Secondary 47A53 | Fredholm operator | Finite Hilbert transform | 46E30 | 47B34 | Mathematics, general | Mathematics | Airfoil equation

Primary 44A15 | Rearrangement invariant space | Secondary 47A53 | Fredholm operator | Finite Hilbert transform | 46E30 | 47B34 | Mathematics, general | Mathematics | Airfoil equation

Journal Article

Linear and Multilinear Algebra, ISSN 0308-1087, 08/2019, Volume 67, Issue 8, pp. 1637 - 1652

Recently, several authors have proved inequalities on the spectral radius , operator norm and numerical radius of Hadamard products and ordinary products of...

nonnegative matrices | Secondary: 47A10 | positive kernel operators | 47B34 | Hadamard-Schur weighted geometric mean | Banach function spaces | spectral radius | 15A60 | Primary: 47B65 | MATHEMATICS | PRODUCTS | BOUNDED SETS | JOINT | Kernels | Operators (mathematics) | Function space | Inequalities

nonnegative matrices | Secondary: 47A10 | positive kernel operators | 47B34 | Hadamard-Schur weighted geometric mean | Banach function spaces | spectral radius | 15A60 | Primary: 47B65 | MATHEMATICS | PRODUCTS | BOUNDED SETS | JOINT | Kernels | Operators (mathematics) | Function space | Inequalities

Journal Article

Integral Equations and Operator Theory, ISSN 0378-620X, 7/2015, Volume 82, Issue 3, pp. 417 - 422

We construct bounded pseudoconvex domains in $${\mathbb{C}^2}$$ C 2 for which the Szegö projection operators are unbounded on L p spaces of the boundary for...

Primary 32A25 | Szegö projection | Analysis | 47B34 | weighted Hardy spaces | Mathematics | Secondary 32A36 | Forelli–Rudin inflation principle

Primary 32A25 | Szegö projection | Analysis | 47B34 | weighted Hardy spaces | Mathematics | Secondary 32A36 | Forelli–Rudin inflation principle

Journal Article

Integral Equations and Operator Theory, ISSN 0378-620X, 3/2016, Volume 84, Issue 3, pp. 419 - 428

A necessary and sufficient condition is given for a positive bounded linear operator with an integral kernel to be trace class on L 2(μ) for a σ-finite...

Kernel operators | Analysis | 47B34 | Primary 47B10 | Mathematics | Secondary 42B25 | Maximal function | Trace class operator | Positive operator | MATHEMATICS | SPACES | KERNELS

Kernel operators | Analysis | 47B34 | Primary 47B10 | Mathematics | Secondary 42B25 | Maximal function | Trace class operator | Positive operator | MATHEMATICS | SPACES | KERNELS

Journal Article

Annali di Matematica Pura ed Applicata, ISSN 0373-3114, 9/2012, Volume 191, Issue 3, pp. 503 - 528

In this paper, we establish some Harnack type inequalities satisfied by positive solutions of non-local inhomogeneous equations arising in the description of...

Harnack type inequality | Primary 45A05 | Positive solutions | 47G10 | 47B34 | Mathematics, general | Mathematics | Nonlocal diffusion operators | 45M20 | MATHEMATICS, APPLIED | CONVERSE | MODEL | NONLOCAL EQUATION | ELLIPTIC-OPERATORS | DISPERSAL | MATHEMATICS | EVOLUTION | VALUE THEOREM | MEAN-VALUE PROPERTY | PRINCIPAL EIGENVALUE | Mathematics - Analysis of PDEs | Analysis of PDEs

Harnack type inequality | Primary 45A05 | Positive solutions | 47G10 | 47B34 | Mathematics, general | Mathematics | Nonlocal diffusion operators | 45M20 | MATHEMATICS, APPLIED | CONVERSE | MODEL | NONLOCAL EQUATION | ELLIPTIC-OPERATORS | DISPERSAL | MATHEMATICS | EVOLUTION | VALUE THEOREM | MEAN-VALUE PROPERTY | PRINCIPAL EIGENVALUE | Mathematics - Analysis of PDEs | Analysis of PDEs

Journal Article

Integral Equations and Operator Theory, ISSN 0378-620X, 8/2019, Volume 91, Issue 4, pp. 1 - 30

We completely characterize in terms of the six parameters involved the boundedness of all standard weighted integral operators induced by Bergman–Besov kernels...

Inclusion relation | 32A37 | Integral operator | 45P05 | Bergman–Besov kernel | 32A36 | Secondary 32A55 | Schur test | Mathematics | 30H25 | 30H20 | Bergman–Besov space | Bloch–Lipschitz space | 46E15 | Bergman–Besov projection | 47G10 | Analysis | Radial fractional derivative | Forelli–Rudin estimate | Primary 47B34 | MATHEMATICS | Forelli-Rudin estimate | Bergman-Besov space | Bloch-Lipschitz space | Bergman-Besov kernel | SPACES | PROJECTIONS | Bergman-Besov projection

Inclusion relation | 32A37 | Integral operator | 45P05 | Bergman–Besov kernel | 32A36 | Secondary 32A55 | Schur test | Mathematics | 30H25 | 30H20 | Bergman–Besov space | Bloch–Lipschitz space | 46E15 | Bergman–Besov projection | 47G10 | Analysis | Radial fractional derivative | Forelli–Rudin estimate | Primary 47B34 | MATHEMATICS | Forelli-Rudin estimate | Bergman-Besov space | Bloch-Lipschitz space | Bergman-Besov kernel | SPACES | PROJECTIONS | Bergman-Besov projection

Journal Article

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Off-diagonal estimates of some Bergman-type operators of tube domains over symmetric cones

Positivity, ISSN 1385-1292, 4/2018, Volume 22, Issue 2, pp. 507 - 531

We obtain some necessary and sufficient conditions for the boundedness of a family of positive operators defined on symmetric cones, we then deduce...

Symmetric cone | Mathematics | Jordan algebra | Operator Theory | Fourier Analysis | Potential Theory | 32M15 | Calculus of Variations and Optimal Control; Optimization | Secondary 28A25 | 47G10 | Primary 47B34 | Econometrics | Bergman projection | 26D15 | MATHEMATICS | PROJECTIONS | L-P-BOUNDEDNESS | Algebra | Cones | Operators

Symmetric cone | Mathematics | Jordan algebra | Operator Theory | Fourier Analysis | Potential Theory | 32M15 | Calculus of Variations and Optimal Control; Optimization | Secondary 28A25 | 47G10 | Primary 47B34 | Econometrics | Bergman projection | 26D15 | MATHEMATICS | PROJECTIONS | L-P-BOUNDEDNESS | Algebra | Cones | Operators

Journal Article

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, ISSN 1578-7303, 7/2019, Volume 113, Issue 3, pp. 2691 - 2713

Utilizing the concept of a superquadratic function, in the present paper we establish some general weighted Hardy-type inequalities involving dynamic integral...

28A25 | Theoretical, Mathematical and Computational Physics | Secondary 26E70 | Hardy-type inequality | Superquadratic function | Time scale | Mathematics | Hardy-Hilbert-type inequality | Pólya-Knopp-type inequality | 47B34 | Mathematics, general | Applications of Mathematics | Primary 26D15 | MATHEMATICS | TIME SCALES | Polya-Knopp-type inequality | Operators (mathematics) | Time | Inequalities

28A25 | Theoretical, Mathematical and Computational Physics | Secondary 26E70 | Hardy-type inequality | Superquadratic function | Time scale | Mathematics | Hardy-Hilbert-type inequality | Pólya-Knopp-type inequality | 47B34 | Mathematics, general | Applications of Mathematics | Primary 26D15 | MATHEMATICS | TIME SCALES | Polya-Knopp-type inequality | Operators (mathematics) | Time | Inequalities

Journal Article

Journal of Fixed Point Theory and Applications, ISSN 1661-7738, 12/2017, Volume 19, Issue 4, pp. 2785 - 2818

In this paper we investigate autonomous as well as nonautonomous superposition operators acting between spaces of functions of bounded $$\Lambda $$ Λ...

compact embedding | Waterman sequence | variation in the sense of Jordan | 26A45 | Aronszajn-type theorem | nonlinear Hammerstein integral equation | existence theorem | Mathematics | Mathematical Methods in Physics | linear integral operator of a Fredholm-type | Lambda $$ Λ -variation | Analysis | 47B34 | Mathematics, general | Secondary 45G10 | superposition operator | Primary 47H30

compact embedding | Waterman sequence | variation in the sense of Jordan | 26A45 | Aronszajn-type theorem | nonlinear Hammerstein integral equation | existence theorem | Mathematics | Mathematical Methods in Physics | linear integral operator of a Fredholm-type | Lambda $$ Λ -variation | Analysis | 47B34 | Mathematics, general | Secondary 45G10 | superposition operator | Primary 47H30

Journal Article

Integral Equations and Operator Theory, ISSN 0378-620X, 3/2012, Volume 72, Issue 3, pp. 301 - 308

We prove a criterion that guarantees that in a given class of operators the set of hypercyclic ones is residual. We also prove the existence of quasinilpotent...

hypercyclic | 47G10 | Analysis | 47B34 | supercyclic | Primary 47A10 | 47A55 | Mathematics | Composition Volterra operators | SPECTRAL THEORY | MATHEMATICS

hypercyclic | 47G10 | Analysis | 47B34 | supercyclic | Primary 47A10 | 47A55 | Mathematics | Composition Volterra operators | SPECTRAL THEORY | MATHEMATICS

Journal Article

Positivity, ISSN 1385-1292, 9/2015, Volume 19, Issue 3, pp. 659 - 679

Various properties of the (continuous) Cesàro operator $$\mathsf {C}$$ C , acting on Banach and Fréchet spaces of continuous functions and $$L^p$$ L p -spaces,...

(Uniformly) mean ergodic operator | Primary 47A10 | Mathematics | Supercyclic operator | Continuous function spaces | Hypercyclic operator | L^p$$ L p -spaces | Operator Theory | 47B38 | Fourier Analysis | Potential Theory | Calculus of Variations and Optimal Control; Optimization | 47A16 | Secondary 46A04 | 47A35 | 47B34 | Cesàro operator | Econometrics | L p -spaces

(Uniformly) mean ergodic operator | Primary 47A10 | Mathematics | Supercyclic operator | Continuous function spaces | Hypercyclic operator | L^p$$ L p -spaces | Operator Theory | 47B38 | Fourier Analysis | Potential Theory | Calculus of Variations and Optimal Control; Optimization | 47A16 | Secondary 46A04 | 47A35 | 47B34 | Cesàro operator | Econometrics | L p -spaces

Journal Article

Integral Equations and Operator Theory, ISSN 0378-620X, 1/2013, Volume 75, Issue 1, pp. 13 - 29

Consider an operator $${T: X(\mu) \rightarrow Y(\mu)}$$ between Banach function spaces having adequate order continuity and Fatou properties. Assume that T can...

Primary 46E30 | kernel operator | Analysis | 47B34 | Banach function space | 46B42 | Mathematics | Secondary 47B38 | Köthe duality | factorization | p -th power factorable operator | p-th power factorable operator | MATHEMATICS | FUNCTION-SPACES | Kothe duality

Primary 46E30 | kernel operator | Analysis | 47B34 | Banach function space | 46B42 | Mathematics | Secondary 47B38 | Köthe duality | factorization | p -th power factorable operator | p-th power factorable operator | MATHEMATICS | FUNCTION-SPACES | Kothe duality

Journal Article

13.
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Boundedness of Generalized Riesz Transforms on Orlicz–Hardy Spaces Associated to Operators

Integral Equations and Operator Theory, ISSN 0378-620X, 6/2013, Volume 76, Issue 2, pp. 225 - 283

Let $${\Phi}$$ be a continuous, strictly increasing and concave function on (0, ∞) of critical lower type index $${p_\Phi^- \in(0,\,1]}$$ . Let L be an...

35J10 | 35J30 | higher order elliptic operator | Mathematics | Poisson estimate | Weak Orlicz–Hardy space | 42B25 | 42B30 | Schrödinger type operator | Analysis | Secondary 42B20 | 46E30 | 47B34 | Orlicz–Hardy space | radial maximal function | k -Davies–Gaffney estimate | Generalized Riesz transform | molecule | Primary 47B06 | k-Davies-Gaffney estimate | Orlicz-Hardy space | Weak Orlicz-Hardy space | HEAT KERNEL BOUNDS | MEAN-OSCILLATION | BOUNDARY-VALUE-PROBLEMS | SMOOTH DOMAIN | HP-SPACES | MATHEMATICS | Schrodinger type operator | 2ND-ORDER ELLIPTIC-OPERATORS | R-N | HOMOGENEOUS TYPE | MEASURABLE COEFFICIENTS | RIEMANNIAN-MANIFOLDS

35J10 | 35J30 | higher order elliptic operator | Mathematics | Poisson estimate | Weak Orlicz–Hardy space | 42B25 | 42B30 | Schrödinger type operator | Analysis | Secondary 42B20 | 46E30 | 47B34 | Orlicz–Hardy space | radial maximal function | k -Davies–Gaffney estimate | Generalized Riesz transform | molecule | Primary 47B06 | k-Davies-Gaffney estimate | Orlicz-Hardy space | Weak Orlicz-Hardy space | HEAT KERNEL BOUNDS | MEAN-OSCILLATION | BOUNDARY-VALUE-PROBLEMS | SMOOTH DOMAIN | HP-SPACES | MATHEMATICS | Schrodinger type operator | 2ND-ORDER ELLIPTIC-OPERATORS | R-N | HOMOGENEOUS TYPE | MEASURABLE COEFFICIENTS | RIEMANNIAN-MANIFOLDS

Journal Article

Mediterranean Journal of Mathematics, ISSN 1660-5446, 9/2011, Volume 8, Issue 3, pp. 383 - 398

In this paper we treat the problem of integral representation of analytic functions over the unit ball of a complex Banach space X using the theory of abstract...

46G12 | Primary 46G20 | holomorphic functions | Cauchy integral formula | Secondary 47B34 | Mathematics, general | Mathematics | Integral representation | Wiener measures | MATHEMATICS | MATHEMATICS, APPLIED | HOLOMORPHIC-FUNCTIONS | EXTENSION

46G12 | Primary 46G20 | holomorphic functions | Cauchy integral formula | Secondary 47B34 | Mathematics, general | Mathematics | Integral representation | Wiener measures | MATHEMATICS | MATHEMATICS, APPLIED | HOLOMORPHIC-FUNCTIONS | EXTENSION

Journal Article

Complex Analysis and Operator Theory, ISSN 1661-8254, 6/2011, Volume 5, Issue 2, pp. 437 - 446

We introduce and investigate special classes of generalized stationary processes: white-noise-type processes and power-low processes. Operators which generate...

Power-low process | Mathematics | Optimal prediction | Triangular factorization | Matched filters | Operator Theory | White-noise-type process | Random matrices | Analysis | Primary 93E20 | Secondary 47B34 | 47B35 | Mathematics, general | MATHEMATICS | MATHEMATICS, APPLIED | Mathematical optimization

Power-low process | Mathematics | Optimal prediction | Triangular factorization | Matched filters | Operator Theory | White-noise-type process | Random matrices | Analysis | Primary 93E20 | Secondary 47B34 | 47B35 | Mathematics, general | MATHEMATICS | MATHEMATICS, APPLIED | Mathematical optimization

Journal Article

16.
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Boundedness and compactness of positive integral operators on cones of homogeneous groups

Positivity, ISSN 1385-1292, 08/2009, Volume 13, Issue 3, pp. 497 - 518

Necessary and sufficient conditions on a weight function v guaranteeing the boundedness/compactness of integral operators with positive kernels defined on...

potentials | singular numbers of kernel operators | Secondary 43A15, 46B50, 47B10, 47B34 | trace inequality | Mathematics | weights | Operator Theory | Operators with positive kernels | Fourier Analysis | Potential Theory | Primary 26A33, 42B25 | Calculus of Variations and Optimal Control; Optimization | homogeneous groups | Econometrics | Homogeneous groups | Trace inequality | Potentials | Singular numbers of kernel operators | Weights | MATHEMATICS | INEQUALITIES | APPROXIMATION NUMBERS

potentials | singular numbers of kernel operators | Secondary 43A15, 46B50, 47B10, 47B34 | trace inequality | Mathematics | weights | Operator Theory | Operators with positive kernels | Fourier Analysis | Potential Theory | Primary 26A33, 42B25 | Calculus of Variations and Optimal Control; Optimization | homogeneous groups | Econometrics | Homogeneous groups | Trace inequality | Potentials | Singular numbers of kernel operators | Weights | MATHEMATICS | INEQUALITIES | APPROXIMATION NUMBERS

Journal Article

09/2002

Journal of Functional Analysis 212 (2004) 287-323 By suitably extending a Feynman-Kac formula of Simon [Canadian Math. Soc. Conf. Proc, 28 (2000), 317-321], we...

Journal Article

Integral Equations and Operator Theory, ISSN 0378-620X, 01/2007, Volume 57, Issue 1, pp. 83 - 99

For a probability space $$(X\, \times \,Y,\,\Sigma \, \otimes \,\Lambda ,\,\user2{\mathbb{P}})$$ we denote the marginal measures of $$\user2{\mathbb{P}}$$ ,...

marginal distributions | Hille-Tamarkin operator | Secondary 47B80 | bivariate distribution | marginal measures | Mathematics | 47B38 | Function spaces | Primary 46E30 | 47G10 | kernel operator | Analysis | 47B34 | Hilbert-Schmidt operator | 62H12 | Kernel operator | Marginal measures | Bivariate distribution | Marginal distributions | MATHEMATICS | LINEAR FUNCTIONALS | function spaces | EFFICIENT ESTIMATION

marginal distributions | Hille-Tamarkin operator | Secondary 47B80 | bivariate distribution | marginal measures | Mathematics | 47B38 | Function spaces | Primary 46E30 | 47G10 | kernel operator | Analysis | 47B34 | Hilbert-Schmidt operator | 62H12 | Kernel operator | Marginal measures | Bivariate distribution | Marginal distributions | MATHEMATICS | LINEAR FUNCTIONALS | function spaces | EFFICIENT ESTIMATION

Journal Article

10/2004

Ann. Henri Poincare 8 (2007) 781-816 For Schroedinger operators (including those with magnetic fields) with singular (locally integrable) scalar potentials on...

Journal Article

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