Communications in Partial Differential Equations, ISSN 0360-5302, 06/2014, Volume 39, Issue 6, pp. 1128 - 1157

In this article we revisit the inequalities of Kato and Ponce concerning the L r norm of the Bessel potential J s = (1 − Δ) s/2...

Primary 42B20 | Secondary 46E35 | Kato-Ponce | Fractional Leibniz rule | KORTEWEG-DEVRIES EQUATION | MATHEMATICS | MATHEMATICS, APPLIED | NAVIER-STOKES EQUATIONS | OPERATORS | EULER | Partial differential equations | Inequality | Norms | Estimates | Inequalities | Images

Primary 42B20 | Secondary 46E35 | Kato-Ponce | Fractional Leibniz rule | KORTEWEG-DEVRIES EQUATION | MATHEMATICS | MATHEMATICS, APPLIED | NAVIER-STOKES EQUATIONS | OPERATORS | EULER | Partial differential equations | Inequality | Norms | Estimates | Inequalities | Images

Journal Article

2017, Anthropology of tourism : heritage, mobility, and society, ISBN 1498509959, xxvi, 183 pages

Book

2013, Mathematical surveys and monographs, ISBN 0821891529, Volume 187, xxiv, 299

Book

Numerical algorithms, ISSN 1572-9265, 2011, Volume 59, Issue 2, pp. 301 - 323

We propose a prototypical Split Inverse Problem (SIP) and a new variational problem, called the Split Variational Inequality Problem (SVIP), which is a...

Numeric Computing | Variational inequality problem | Iterative method | Theory of Computation | Monotone operator | Product space | Split variational inequality problem | Metric projection | Algebra | Algorithms | Computer Science | Split inverse problem | Inverse strongly monotone operator | Mathematics, general | Hilbert space | Constrained variational inequality problem | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | FEASIBILITY PROBLEM | CONVEX-SETS | CQ ALGORITHM | PROJECTION | THEOREMS | WEAK-CONVERGENCE | EXTRAGRADIENT METHOD | OPERATORS | Censorship | Equality

Numeric Computing | Variational inequality problem | Iterative method | Theory of Computation | Monotone operator | Product space | Split variational inequality problem | Metric projection | Algebra | Algorithms | Computer Science | Split inverse problem | Inverse strongly monotone operator | Mathematics, general | Hilbert space | Constrained variational inequality problem | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | FEASIBILITY PROBLEM | CONVEX-SETS | CQ ALGORITHM | PROJECTION | THEOREMS | WEAK-CONVERGENCE | EXTRAGRADIENT METHOD | OPERATORS | Censorship | Equality

Journal Article

Mathematische Annalen, ISSN 0025-5831, 4/2014, Volume 358, Issue 3, pp. 833 - 860

...$$ L satisfies, with a non negative curvature parameter, the generalized curvature inequality introduced by the first and third named authors in http://arxiv.org/abs...

Mathematics, general | Mathematics | METRIC-MEASURE-SPACES | MATHEMATICS | LOCAL DIRICHLET SPACES | PARABOLIC HARNACK INEQUALITY | SECOND-ORDER | HARMONIC-FUNCTIONS | VECTOR-FIELDS | MANIFOLDS | OPERATORS | SOBOLEV INEQUALITIES | GEOMETRY | Equality | Probability | Differential Geometry | Analysis of PDEs

Mathematics, general | Mathematics | METRIC-MEASURE-SPACES | MATHEMATICS | LOCAL DIRICHLET SPACES | PARABOLIC HARNACK INEQUALITY | SECOND-ORDER | HARMONIC-FUNCTIONS | VECTOR-FIELDS | MANIFOLDS | OPERATORS | SOBOLEV INEQUALITIES | GEOMETRY | Equality | Probability | Differential Geometry | Analysis of PDEs

Journal Article

Acta Mathematica Hungarica, ISSN 0236-5294, 4/2019, Volume 157, Issue 2, pp. 408 - 433

We prove a weighted mixed-norm inequality for the Doob maximal operator on a filtered measure space...

primary 60G46 | extrapolation | BMO | secondary 60G42 | Mathematics, general | weight | Doob’s maximal operator | Mathematics | mixed-norm inequality | MATHEMATICS | Doob's maximal operator | Equality

primary 60G46 | extrapolation | BMO | secondary 60G42 | Mathematics, general | weight | Doob’s maximal operator | Mathematics | mixed-norm inequality | MATHEMATICS | Doob's maximal operator | Equality

Journal Article

Journal of inequalities and applications, ISSN 1029-242X, 2018, Volume 2018, Issue 1, pp. 1 - 20

In this paper, we study some complementary inequalities to Jensen’s inequality for self-adjoint operators, unital positive linear mappings, and real valued twice differentiable functions...

positive linear mapping | convex function | Mathematics | 47A64 | Mond-Pečarić method | 47A63 | self-adjoint operator | 47B15 | converse of Jensen’s operator inequality | Analysis | Mathematics, general | 46L05 | Applications of Mathematics | converse of Jensen's operator inequality | QUASI-ARITHMETIC MEANS | MATHEMATICS | Mond-Pecaric method | MATHEMATICS, APPLIED | POSITIVE LINEAR-MAPS | CONVERSES | Research

positive linear mapping | convex function | Mathematics | 47A64 | Mond-Pečarić method | 47A63 | self-adjoint operator | 47B15 | converse of Jensen’s operator inequality | Analysis | Mathematics, general | 46L05 | Applications of Mathematics | converse of Jensen's operator inequality | QUASI-ARITHMETIC MEANS | MATHEMATICS | Mond-Pecaric method | MATHEMATICS, APPLIED | POSITIVE LINEAR-MAPS | CONVERSES | Research

Journal Article

Journal of mathematical analysis and applications, ISSN 0022-247X, 2019, Volume 479, Issue 2, pp. 1456 - 1474

In this paper we prove the pluricomplex counterpart of the Moser-Trudinger and Sobolev inequalities in complex space...

Plurisubharmonic function | Subharmonic function | Moser-Trudinger inequality | Compact Kähler manifold | Sobolev inequality | Complex Monge-Ampère operator | MATHEMATICS | MATHEMATICS, APPLIED | ENERGY | Complex Monge-Ampere operator | PLURISUBHARMONIC-FUNCTIONS | Compact Kahler manifold

Plurisubharmonic function | Subharmonic function | Moser-Trudinger inequality | Compact Kähler manifold | Sobolev inequality | Complex Monge-Ampère operator | MATHEMATICS | MATHEMATICS, APPLIED | ENERGY | Complex Monge-Ampere operator | PLURISUBHARMONIC-FUNCTIONS | Compact Kahler manifold

Journal Article

Mathematica Slovaca, ISSN 1337-2211, 2018, Volume 68, Issue 6, pp. 1439 - 1446

In this paper, we improve the famous Reid inequality related to linear operators...

square roots | Secondary 47A05 | Primary 47A63 | positive and hyponormal (bounded and unbounded) operators | Reid inequality | MATHEMATICS

square roots | Secondary 47A05 | Primary 47A63 | positive and hyponormal (bounded and unbounded) operators | Reid inequality | MATHEMATICS

Journal Article

Journal of functional analysis, ISSN 0022-1236, 2014, Volume 266, Issue 1, pp. 55 - 66

The paper gives the following improvement of the Trudinger–Moser inequality:(0.1)sup∫Ω|∇u|2dx−ψ(u)⩽1,u∈C0∞(Ω)∫Ωe4πu2dx<∞,Ω∈R2, related to the Hardy...

Spectral gap | Virtual bound state | Singular elliptic operators | Trudinger–Moser inequality | Borderline Sobolev imbeddings | Hardy–Sobolev–Mazya inequality | Remainder terms | Trudinger-Moser inequality | Hardy-Sobolev-Mazya inequality | MATHEMATICS | Equality

Spectral gap | Virtual bound state | Singular elliptic operators | Trudinger–Moser inequality | Borderline Sobolev imbeddings | Hardy–Sobolev–Mazya inequality | Remainder terms | Trudinger-Moser inequality | Hardy-Sobolev-Mazya inequality | MATHEMATICS | Equality

Journal Article

Complex Analysis and Operator Theory, ISSN 1661-8254, 4/2019, Volume 13, Issue 3, pp. 583 - 613

Let $$\left| {\left| {\cdot }\right| }\right| _\Phi $$ · Φ be a unitarily invariant norm related to a symmetrically norming (s.n.) function $$\Phi $$ Φ ,...

Primary 47A30 | 47B10 | 46B20 | Mathematics | 47A60 | Concave function | Non-commutative Clarkson inequalities | Operator Theory | Unitarily invariant norm | Secondary 47A65 | 15A57 | Circulant block operator matrix | 47B15 | Analysis | Mathematics, general | Convex function | Finite Fourier transform | 15A60 | MATHEMATICS | MATHEMATICS, APPLIED

Primary 47A30 | 47B10 | 46B20 | Mathematics | 47A60 | Concave function | Non-commutative Clarkson inequalities | Operator Theory | Unitarily invariant norm | Secondary 47A65 | 15A57 | Circulant block operator matrix | 47B15 | Analysis | Mathematics, general | Convex function | Finite Fourier transform | 15A60 | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

2018, 1, Monographs and research notes in mathematics, ISBN 1498761593, Volume 1, xv, 311 pages

.... A systematic and unified presentation contains a carefully-selected collection of new results on variational-hemivariational inequalities with or without unilateral constraints...

Fixed point theory | Variational inequalities (Mathematics) | Hemivariational inequalities | Nonlinear operators | Mathematics & Statistics for Engineers | Mathematical Physics | Differential Equations | Mathematics

Fixed point theory | Variational inequalities (Mathematics) | Hemivariational inequalities | Nonlinear operators | Mathematics & Statistics for Engineers | Mathematical Physics | Differential Equations | Mathematics

Book

Mathematische Zeitschrift, ISSN 1432-1823, 2016, Volume 286, Issue 3-4, pp. 1367 - 1373

We study the Rellich inequalities in the framework of equalities. We present equalities which imply the Rellich inequalities by dropping remainders...

Vanishing condition of remainder | Schrödinger operator | 35A23 | Rellich inequality | Mathematics, general | Hardy inequality | Mathematics | Primary 26D10 | Nontrivial extremiser | Secondary 46E35 | MATHEMATICS | CONSTANTS | OPERATOR | REMAINDER | Schrodinger operator | HARDY INEQUALITIES | Mechanical engineering | Equality

Vanishing condition of remainder | Schrödinger operator | 35A23 | Rellich inequality | Mathematics, general | Hardy inequality | Mathematics | Primary 26D10 | Nontrivial extremiser | Secondary 46E35 | MATHEMATICS | CONSTANTS | OPERATOR | REMAINDER | Schrodinger operator | HARDY INEQUALITIES | Mechanical engineering | Equality

Journal Article

Journal of mathematical analysis and applications, ISSN 0022-247X, 2011, Volume 381, Issue 2, pp. 546 - 556

We study the Cauchy–Schwarz and some related inequalities in a semi-inner product module over a C ⁎ -algebra...

[formula omitted]-algebra | Cauchy–Schwarz inequality | Semi-inner product [formula omitted]-module | Ostrowski inequality | Covariance–variance inequality | Positive operator | Gram matrix | Semi-inner product C-module | Cauchy-Schwarz inequality | Covariance-variance inequality | C-algebra | MATHEMATICS | MATHEMATICS, APPLIED | INNER-PRODUCT | Analysis | Equality

[formula omitted]-algebra | Cauchy–Schwarz inequality | Semi-inner product [formula omitted]-module | Ostrowski inequality | Covariance–variance inequality | Positive operator | Gram matrix | Semi-inner product C-module | Cauchy-Schwarz inequality | Covariance-variance inequality | C-algebra | MATHEMATICS | MATHEMATICS, APPLIED | INNER-PRODUCT | Analysis | Equality

Journal Article

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, ISSN 0036-1410, 2019, Volume 51, Issue 2, pp. 790 - 807

We show that allowing magnetic fields to be complex-valued leads to an improvement in the magnetic Hardy-type inequality due to Laptev and Weidl...

MATHEMATICS, APPLIED | non-self-adjoint momenta | metric operator | Hardy inequality | quasi-self-adjointness | similarity transforms | PJ-symmetry | Aharonov-Bohm potential | complex magnetic field | magnetic Laplacian | HILBERT-SPACE | OPERATORS | basis properties

MATHEMATICS, APPLIED | non-self-adjoint momenta | metric operator | Hardy inequality | quasi-self-adjointness | similarity transforms | PJ-symmetry | Aharonov-Bohm potential | complex magnetic field | magnetic Laplacian | HILBERT-SPACE | OPERATORS | basis properties

Journal Article

Revista Matematica Iberoamericana, ISSN 0213-2230, 2018, Volume 34, Issue 1, pp. 221 - 244

We provide a Fefferman-Stein type weighted inequality for maximally modulated Calderon-Zygmund operators that satisfy a priori weak type unweighted estimates...

Carleson operator | Sparse operators | Maximal operators | Weighted inequality | WEIGHTED NORM INEQUALITIES | SQUARE FUNCTIONS | MAXIMAL-FUNCTION | SINGULAR INTEGRAL-OPERATORS | MULTIPLIERS | BOUNDEDNESS | maximal operators | MATHEMATICS | weighted inequality | BOUNDS | FOURIER-SERIES | sparse operators | CONVERGENCE | CALDERON-ZYGMUND OPERATORS

Carleson operator | Sparse operators | Maximal operators | Weighted inequality | WEIGHTED NORM INEQUALITIES | SQUARE FUNCTIONS | MAXIMAL-FUNCTION | SINGULAR INTEGRAL-OPERATORS | MULTIPLIERS | BOUNDEDNESS | maximal operators | MATHEMATICS | weighted inequality | BOUNDS | FOURIER-SERIES | sparse operators | CONVERGENCE | CALDERON-ZYGMUND OPERATORS

Journal Article

Numerical algorithms, ISSN 1572-9265, 2017, Volume 78, Issue 4, pp. 1045 - 1060

In this paper, we study the weak and strong convergence of two algorithms for solving Lipschitz continuous and monotone variational inequalities...

65K15 | Numeric Computing | 68W10 | Variational inequality problem | Theory of Computation | Monotone operator | 65Y05 | Tseng’s extragradient method | Subgradient extragradient method | 47H10 | Algorithms | Algebra | Numerical Analysis | Viscosity method | Computer Science | Extragradient method | 47H05 | MATHEMATICS, APPLIED | Tseng's extragradient method | PROJECTION METHODS | EXTRAGRADIENT METHODS | BANACH-SPACES | MAPPINGS | ITERATIVE METHODS | VISCOSITY APPROXIMATION METHODS | HILBERT-SPACE | Analysis | Equality

65K15 | Numeric Computing | 68W10 | Variational inequality problem | Theory of Computation | Monotone operator | 65Y05 | Tseng’s extragradient method | Subgradient extragradient method | 47H10 | Algorithms | Algebra | Numerical Analysis | Viscosity method | Computer Science | Extragradient method | 47H05 | MATHEMATICS, APPLIED | Tseng's extragradient method | PROJECTION METHODS | EXTRAGRADIENT METHODS | BANACH-SPACES | MAPPINGS | ITERATIVE METHODS | VISCOSITY APPROXIMATION METHODS | HILBERT-SPACE | Analysis | Equality

Journal Article

COLLECTANEA MATHEMATICA, ISSN 0010-0757, 09/2019, Volume 70, Issue 3, pp. 367 - 398

We prove Hardy and trace Hardy inequality for Dunkl gradient. We also obtain fractional Hardy inequality with homogeneous and non-homogeneous weight...

MATHEMATICS | MATHEMATICS, APPLIED | Fractional Hardy inequality | CONSTANTS | PITTS INEQUALITY | Dunkl Laplacian | Hardy inequality | Trace Hardy inequality | TRANSFORM | OPERATORS | EXTENSION PROBLEM

MATHEMATICS | MATHEMATICS, APPLIED | Fractional Hardy inequality | CONSTANTS | PITTS INEQUALITY | Dunkl Laplacian | Hardy inequality | Trace Hardy inequality | TRANSFORM | OPERATORS | EXTENSION PROBLEM

Journal Article

Complex Analysis and Operator Theory, ISSN 1661-8254, 1/2018, Volume 12, Issue 1, pp. 195 - 205

In this paper we find the explicit form for the equalizing term in the inequality related to Landau...

Primary 47A30 | 47B10 | 46B20 | Mathematics | 47A60 | Operator Theory | Unitarily invariant norm | Secondary 47A65 | 15A57 | 47B15 | Analysis | Mathematics, general | Symmetrically norming function | 15A60 | MATHEMATICS | MATHEMATICS, APPLIED | CAUCHY-SCHWARZ

Primary 47A30 | 47B10 | 46B20 | Mathematics | 47A60 | Operator Theory | Unitarily invariant norm | Secondary 47A65 | 15A57 | 47B15 | Analysis | Mathematics, general | Symmetrically norming function | 15A60 | MATHEMATICS | MATHEMATICS, APPLIED | CAUCHY-SCHWARZ

Journal Article

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