2014, De Gruyter studies in mathematics, ISBN 9783110281231, Volume 52., xiii, 449

Book

Mathematische Zeitschrift, ISSN 0025-5874, 06/2010, Volume 265, Issue 2, pp. 451 - 480

Let s, tau is an element of R and q is an element of (0, infinity]. We introduce Besov-type spaces. (B) over dot(p, q)(s, tau) (R-n) for p is an element of (0,...

Calderón reproducing formula | Triebel-Lizorkin space | Embedding | φ -transform | Q space | Tent space | Lifting | Atom | Besov space | Molecule | Hardy-Hausdorff space | Hausdorff capacity | Almost diagonal operator | Dual space | phi-transform | REAL VARIABLES | Q(P) SPACES | Calderon reproducing formula | MOLECULAR DECOMPOSITIONS | MATHEMATICS | THEOREMS | TRANSFORM | MORREY SPACES

Calderón reproducing formula | Triebel-Lizorkin space | Embedding | φ -transform | Q space | Tent space | Lifting | Atom | Besov space | Molecule | Hardy-Hausdorff space | Hausdorff capacity | Almost diagonal operator | Dual space | phi-transform | REAL VARIABLES | Q(P) SPACES | Calderon reproducing formula | MOLECULAR DECOMPOSITIONS | MATHEMATICS | THEOREMS | TRANSFORM | MORREY SPACES

Journal Article

Transactions of the American Mathematical Society, ISSN 0002-9947, 09/2019, Volume 372, Issue 9, pp. 6677 - 6702

We study H^p spaces of Dirichlet series, called \mathcal {H}^p, for the range 0

Journal Article

Journal of Geometric Analysis, ISSN 1050-6926, 4/2013, Volume 23, Issue 2, pp. 895 - 932

One defines a non-homogeneous space (X,μ) as a metric space equipped with a non-doubling measure μ so that the volume of the ball with center x, radius r has...

BMO | Non-homogeneous spaces | Calderón–Zygmund operator | Hardy spaces | Mathematics | Abstract Harmonic Analysis | 42B35 | Fourier Analysis | Convex and Discrete Geometry | 42B20 | Global Analysis and Analysis on Manifolds | Differential Geometry | Dynamical Systems and Ergodic Theory | Calderón-Zygmund operator

BMO | Non-homogeneous spaces | Calderón–Zygmund operator | Hardy spaces | Mathematics | Abstract Harmonic Analysis | 42B35 | Fourier Analysis | Convex and Discrete Geometry | 42B20 | Global Analysis and Analysis on Manifolds | Differential Geometry | Dynamical Systems and Ergodic Theory | Calderón-Zygmund operator

Journal Article

02/2019, Cambridge Studies in Advanced Mathematics, 179. Cambridge University Press, Cambridge, ISBN 9781107184541, 298

The theory of Hardy spaces is a cornerstone of modern analysis. It combines techniques from functional analysis, the theory of analytic functions and Lesbesgue...

Complex Variables | Mathematics | Functional Analysis | Classical Analysis and ODEs

Complex Variables | Mathematics | Functional Analysis | Classical Analysis and ODEs

eBook

2013, 1. Aufl., Applied and Numerical Harmonic Analysis, ISBN 3034805470, 315

This book provides an accessible introduction to the theory of variable Lebesgue spaces. These spaces generalize the classical Lebesgue spaces by replacing the...

Mathematics | Lebesgue integral | Harmonic analysis

Mathematics | Lebesgue integral | Harmonic analysis

eBook

7.
Full Text
Some integral‐type operators from F(p,q,s) spaces to mixed‐norm spaces on the unit ball

Mathematische Nachrichten, ISSN 0025-584X, 08/2014, Volume 287, Issue 11-12, pp. 1298 - 1311

We discuss the boundedness and compactness of some integral‐type operators acting from F(p,q,s) spaces to mixed‐norm spaces on the unit ball of Cn.

F(p,q,s) spaces | 32A37 | 32A38 | 47B38 | 46F12 | mixed‐norm spaces | 47G10 | 47B33 | Integral‐type operators | 32H02 | Mixed-norm spaces | Integral-type operators | mixed-norm spaces | BMOA | C-N | HARDY-SPACES | MATHEMATICS | BLOCH-TYPE SPACES | RIEMANN-STIELTJES OPERATORS | ZYGMUND SPACES | F(p, q, s) spaces | EXTENDED CESARO OPERATORS | COMPACTNESS | BERGMAN SPACES

F(p,q,s) spaces | 32A37 | 32A38 | 47B38 | 46F12 | mixed‐norm spaces | 47G10 | 47B33 | Integral‐type operators | 32H02 | Mixed-norm spaces | Integral-type operators | mixed-norm spaces | BMOA | C-N | HARDY-SPACES | MATHEMATICS | BLOCH-TYPE SPACES | RIEMANN-STIELTJES OPERATORS | ZYGMUND SPACES | F(p, q, s) spaces | EXTENDED CESARO OPERATORS | COMPACTNESS | BERGMAN SPACES

Journal Article

COMPLEX ANALYSIS AND OPERATOR THEORY, ISSN 1661-8254, 07/2019, Volume 13, Issue 5, pp. 2357 - 2370

It is known that if X and Y are spaces of holomorphic functions in the unit disc D, which are between the mean Lipschitz space p 1/p, where 1 < p < 8, and the...

Mixed norm spaces | MATHEMATICS | MATHEMATICS, APPLIED | OPERATOR | Hardy spaces | HANKEL | NORM | BERGMAN | Hilbert matrix

Mixed norm spaces | MATHEMATICS | MATHEMATICS, APPLIED | OPERATOR | Hardy spaces | HANKEL | NORM | BERGMAN | Hilbert matrix

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 01/2013, Volume 397, Issue 2, pp. 678 - 692

In this paper, we give new characterization of the classical Morrey space. Complementary global Morrey-type spaces are introduced. It is proved that for...

Dual spaces | Multidimensional Hardy inequalities | Local and global Morrey-type spaces | Associate spaces | Complementary local Morrey-type spaces | MATHEMATICS | MATHEMATICS, APPLIED | BOUNDEDNESS | MAXIMAL OPERATOR

Dual spaces | Multidimensional Hardy inequalities | Local and global Morrey-type spaces | Associate spaces | Complementary local Morrey-type spaces | MATHEMATICS | MATHEMATICS, APPLIED | BOUNDEDNESS | MAXIMAL OPERATOR

Journal Article

Acta Mathematica Hungarica, ISSN 0236-5294, 2/2017, Volume 151, Issue 1, pp. 50 - 68

We characterize the dual spaces of weak martingale Hardy–Lorentz–Karamata spaces. As an application, we obtain a weak type John–Nirenberg theorem when the...

60G46 | 60G42 | John–Nirenberg inequality | Mathematics, general | martingale | Mathematics | fractional integral | weak Hardy–Lorentz–Karamata space | dual space | MATHEMATICS | John-Nirenberg inequality | weak Hardy-Lorentz-Karamata space

60G46 | 60G42 | John–Nirenberg inequality | Mathematics, general | martingale | Mathematics | fractional integral | weak Hardy–Lorentz–Karamata space | dual space | MATHEMATICS | John-Nirenberg inequality | weak Hardy-Lorentz-Karamata space

Journal Article

Journal of Functional Analysis, ISSN 0022-1236, 05/2012, Volume 262, Issue 9, pp. 3665 - 3748

In the present paper we define Hardy spaces with variable exponents on Rn by the grand maximal function, and then investigate their several properties. The...

Campanato spaces | Variable exponents | Hardy spaces | MATHEMATICS | SMOOTHNESS | MORREY SPACES | INTEGRAL-OPERATORS | RIESZ-POTENTIALS

Campanato spaces | Variable exponents | Hardy spaces | MATHEMATICS | SMOOTHNESS | MORREY SPACES | INTEGRAL-OPERATORS | RIESZ-POTENTIALS

Journal Article

中国科学：数学英文版, ISSN 1674-7283, 2015, Volume 58, Issue 2, pp. 309 - 388

Let（X,d,）be a metric measure space satisfying both the geometrically doubling and the upper doubling conditions.Let ρ∈（1,∞）,0〈p≤1≤q≤∞,p≠q,γ∈[1,∞）and ∈...

Weiss | Hardy空间 | 测度空间 | 幽门螺杆菌 | 分数次积分 | Campanato空间 | 应用 | ATB | molecular block | Campanato space | Lipschitz space | Mathematics | 30L99 | non-homogeneous metric measure space | ρ -weakly doubling measure | 42B35 | 42B30 | 42B20 | Calderón-Zygmund operator | Applications of Mathematics | atomic block | Hardy space | Non-homogeneous metric measure space | ρ-weakly doubling measure | Atomic block | Molecular block

Weiss | Hardy空间 | 测度空间 | 幽门螺杆菌 | 分数次积分 | Campanato空间 | 应用 | ATB | molecular block | Campanato space | Lipschitz space | Mathematics | 30L99 | non-homogeneous metric measure space | ρ -weakly doubling measure | 42B35 | 42B30 | 42B20 | Calderón-Zygmund operator | Applications of Mathematics | atomic block | Hardy space | Non-homogeneous metric measure space | ρ-weakly doubling measure | Atomic block | Molecular block

Journal Article

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, ISSN 1063-5203, 01/2018, Volume 44, Issue 1, pp. 1 - 37

Let (chi, d, mu) be a metric measure space of homogeneous type in the sense of R.R. Coifman and G. Weiss and H-at(1)(chi) be the atomic Hardy space. Via...

MATHEMATICS, APPLIED | METRIC-SPACES | Regular wavelet | LITTLEWOOD | BOUNDEDNESS | PHYSICS, MATHEMATICAL | Spline function | Unconditional basis | Atom | HP-SPACES | Molecule | Metric measure space of homogeneous type | MAXIMAL FUNCTIONS | RD-SPACES | VARIABLES | SINGULAR-INTEGRALS | Hardy space

MATHEMATICS, APPLIED | METRIC-SPACES | Regular wavelet | LITTLEWOOD | BOUNDEDNESS | PHYSICS, MATHEMATICAL | Spline function | Unconditional basis | Atom | HP-SPACES | Molecule | Metric measure space of homogeneous type | MAXIMAL FUNCTIONS | RD-SPACES | VARIABLES | SINGULAR-INTEGRALS | Hardy space

Journal Article

Abstract and Applied Analysis, ISSN 1085-3375, 2008, Volume 2008, pp. 1 - 250

We work on RD-spaces X, namely, spaces of homogeneous type in the sense of Coifman and Weiss with the additional property that a reverse doubling property...

MATHEMATICS, APPLIED | SOBOLEV SPACES | LIE-GROUPS | POLYNOMIAL-GROWTH | INEQUALITIES | HARDY-SPACES | QUASI-CONFORMAL MAPPINGS | CALDERON-ZYGMUND OPERATORS | HOMOGENEOUS TYPE | FINITE-TYPE | GEOMETRY

MATHEMATICS, APPLIED | SOBOLEV SPACES | LIE-GROUPS | POLYNOMIAL-GROWTH | INEQUALITIES | HARDY-SPACES | QUASI-CONFORMAL MAPPINGS | CALDERON-ZYGMUND OPERATORS | HOMOGENEOUS TYPE | FINITE-TYPE | GEOMETRY

Journal Article

Journal of Functional Analysis, ISSN 0022-1236, 02/2017, Volume 272, Issue 4, pp. 1661 - 1703

We study Hardy-type inequalities associated to the quadratic form of the shifted Laplacian −ΔHN−(N−1)2/4 on the hyperbolic space HN, (N−1)2/4 being, as it is...

Poincaré–Rellich inequalities | Improved Hardy inequalities on manifolds | Poincaré–Hardy inequalities | Hyperbolic space | MATHEMATICS | Poincare-Rellich inequalities | CONSTANTS | Poincarb-Hardy inequalities | EQUATION | L-P | RIEMANNIAN-MANIFOLDS | SCHRODINGER-OPERATORS

Poincaré–Rellich inequalities | Improved Hardy inequalities on manifolds | Poincaré–Hardy inequalities | Hyperbolic space | MATHEMATICS | Poincare-Rellich inequalities | CONSTANTS | Poincarb-Hardy inequalities | EQUATION | L-P | RIEMANNIAN-MANIFOLDS | SCHRODINGER-OPERATORS

Journal Article

16.
Full Text
Dilation operators and integral operators on amalgam space $$(L_{p},l_{q})$$ ( L p , l q )

Ricerche di Matematica, ISSN 0035-5038, 12/2019, Volume 68, Issue 2, pp. 661 - 677

This paper establishes the Hardy–Littlewood–Pólya inequalities, the Hardy inequalities and the Hilbert inequalities on amalgam spaces. Moreover, it also gives...

Integral operator | 26D10 | Probability Theory and Stochastic Processes | Hardy inequality | Mathematics | Amalgam spaces | Mellin convolution | Geometry | 42B35 | Algebra | 44A05 | Analysis | Numerical Analysis | Hilbert inequality | 46E30 | Mathematics, general | Hausdorff operator | 26D15 | Hadamard fractional integral | MATHEMATICS, APPLIED | INEQUALITIES | FOURIER | BOUNDEDNESS | MULTIDIMENSIONAL HAUSDORFF OPERATORS | MATHEMATICS

Integral operator | 26D10 | Probability Theory and Stochastic Processes | Hardy inequality | Mathematics | Amalgam spaces | Mellin convolution | Geometry | 42B35 | Algebra | 44A05 | Analysis | Numerical Analysis | Hilbert inequality | 46E30 | Mathematics, general | Hausdorff operator | 26D15 | Hadamard fractional integral | MATHEMATICS, APPLIED | INEQUALITIES | FOURIER | BOUNDEDNESS | MULTIDIMENSIONAL HAUSDORFF OPERATORS | MATHEMATICS

Journal Article

Abstract and Applied Analysis, ISSN 1085-3375, 2011, Volume 2011

This paper characterizes the boundedness and compactness of the product of extended Cesaro operator and composition operator from Lipschitz space to F(p, q, s)...

MATHEMATICS | WEIGHTED COMPOSITION OPERATORS | MATHEMATICS, APPLIED | BLOCH-TYPE SPACES | C-N | RIEMANN-STIELTJES OPERATORS | ZYGMUND SPACES | HARDY-SPACES | H-INFINITY | COMPACTNESS | BERGMAN SPACES | INTEGRAL-TYPE | Operator theory | Research | Vector spaces | Banach spaces | Inequality | Operators

MATHEMATICS | WEIGHTED COMPOSITION OPERATORS | MATHEMATICS, APPLIED | BLOCH-TYPE SPACES | C-N | RIEMANN-STIELTJES OPERATORS | ZYGMUND SPACES | HARDY-SPACES | H-INFINITY | COMPACTNESS | BERGMAN SPACES | INTEGRAL-TYPE | Operator theory | Research | Vector spaces | Banach spaces | Inequality | Operators

Journal Article

Journal of Functional Analysis, ISSN 0022-1236, 12/2013, Volume 265, Issue 12, pp. 3204 - 3218

We investigate for which pairs b,μ the de Branges–Rovnyak space Hb is equal to the generalized Dirichlet space Dμ.

Dirichlet space | de Branges–Rovnyak space | Hardy space | De Branges-Rovnyak space | MATHEMATICS | de Branges-Rovnyak space

Dirichlet space | de Branges–Rovnyak space | Hardy space | De Branges-Rovnyak space | MATHEMATICS | de Branges-Rovnyak space

Journal Article

Indiana University Mathematics Journal, ISSN 0022-2518, 1/2014, Volume 63, Issue 2, pp. 447 - 493

We develop the theory of variable exponent Hardy spaces Hp(·). We give equivalent definitions in terms of maximal operators that are analogous to the classical...

Mathematical extrapolation | Mathematical variables | Series convergence | Urelements | Lebesgue spaces | Cubes | Finite sums | Harmonic analysis | Mathematical functions | Grand maximal operator | Variable Lebesgue spaces | Hardy spaces | Atomic decomposition | Singular integral operators | variable Lebesgue spaces | MATHEMATICS | atomic decomposition | grand maximal operator | singular integral operators | HP SPACES | BOUNDEDNESS | LEBESGUE

Mathematical extrapolation | Mathematical variables | Series convergence | Urelements | Lebesgue spaces | Cubes | Finite sums | Harmonic analysis | Mathematical functions | Grand maximal operator | Variable Lebesgue spaces | Hardy spaces | Atomic decomposition | Singular integral operators | variable Lebesgue spaces | MATHEMATICS | atomic decomposition | grand maximal operator | singular integral operators | HP SPACES | BOUNDEDNESS | LEBESGUE

Journal Article

Complex Analysis and Operator Theory, ISSN 1661-8254, 6/2018, Volume 12, Issue 5, pp. 1303 - 1313

For $$0<\alpha <\infty $$ 0<α<∞ , $$0

Primary 32A35 | Operator Theory | Hardy–Sobolev spaces | Closure | Analysis | Hardy spaces | Mathematics, general | Mathematics | Bloch type spaces | Secondary 32A18 | MATHEMATICS | MATHEMATICS, APPLIED | EMBEDDING DERIVATIVES | Hardy-Sobolev spaces

Journal Article

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