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

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

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

Journal of functional analysis, ISSN 0022-1236, 2014, Volume 267, Issue 6, pp. 1807 - 1836

We state and prove a general Harnack inequality for minimizers of nonlocal, possibly degenerate, integro-differential operators, whose model is the fractional p...

Harnack inequality | Quasilinear nonlocal operators | Fractional Sobolev spaces | Caccioppoli estimates | Fractional sobolev spaces | MATHEMATICS | REGULARITY | SPACES | MINIMA | VARIATIONAL INTEGRALS

Harnack inequality | Quasilinear nonlocal operators | Fractional Sobolev spaces | Caccioppoli estimates | Fractional sobolev spaces | MATHEMATICS | REGULARITY | SPACES | MINIMA | VARIATIONAL INTEGRALS

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

Linear Algebra and Its Applications, ISSN 0024-3795, 01/2016, Volume 488, pp. 284 - 301

...=1NBn⁎X⁎XBn‖Φ(p2). For p≥2 this implies refined Minkowski inequality for p-modified unitarily invariant norms ‖⋅‖Φ(p)‖∑n=1NBn‖Φ(p)≤‖|∑n=1NBn|p+(∑n=1N‖Bn‖Φ(p))−p2∑n...

Operator matrix | Symmetrically norming function | Unitarily invariant norm | secondary 47A65 | 15A57 | 47B15 | 46B20 | 47B10 | MSC primary 47A30 | 15A60 | 47A60 | MATHEMATICS | MATHEMATICS, APPLIED | MCCARTHY INEQUALITIES | NONCOMMUTATIVE CLARKSON INEQUALITIES | N-TUPLES

Operator matrix | Symmetrically norming function | Unitarily invariant norm | secondary 47A65 | 15A57 | 47B15 | 46B20 | 47B10 | MSC primary 47A30 | 15A60 | 47A60 | MATHEMATICS | MATHEMATICS, APPLIED | MCCARTHY INEQUALITIES | NONCOMMUTATIVE CLARKSON INEQUALITIES | N-TUPLES

Journal Article

Journal of mathematical analysis and applications, ISSN 0022-247X, 2017, Volume 445, Issue 2, pp. 1516 - 1529

Using a refinement of the classical Young inequality, we refine some inequalities of operators including the function ωp, where ωp is defined for p⩾1 and operators T1,…,Tn∈B(H) byωp(T1,…,Tn):=sup‖x‖=1(∑i=1n|〈Tix,x〉|p)1p...

Numerical range | Generalized Euclidean operator radius | Young inequality | Inequality | MATHEMATICS | HILBERT-SPACE OPERATORS | NUMERICAL RADIUS | MATHEMATICS, APPLIED | Equality

Numerical range | Generalized Euclidean operator radius | Young inequality | Inequality | MATHEMATICS | HILBERT-SPACE OPERATORS | NUMERICAL RADIUS | MATHEMATICS, APPLIED | Equality

Journal Article

Turkish journal of mathematics, ISSN 1300-0098, 2019, Volume 43, Issue 1, pp. 523 - 532

We prove analogs of certain operator inequalities, including Holder-McCarthy inequality, Kantorovich inequality, and Heinz-Kato inequality, for positive operators on the Hilbert space in terms...

MATHEMATICS | Reproducing kernel Hilbert space | Holder-McCarthy-type inequality | REPRODUCING KERNELS | Berezin symbol | Berezin number | Kantorovich-type inequality | Heinz-Kato inequality | positive operator | BEREZIN SYMBOLS

MATHEMATICS | Reproducing kernel Hilbert space | Holder-McCarthy-type inequality | REPRODUCING KERNELS | Berezin symbol | Berezin number | Kantorovich-type inequality | Heinz-Kato inequality | positive operator | BEREZIN SYMBOLS

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

Linear Algebra and Its Applications, ISSN 0024-3795, 10/2017, Volume 531, pp. 399 - 422

The Hardy–Littlewood inequalities on ℓp spaces provide optimal exponents for some classes of inequalities for bilinear forms on ℓp spaces...

Hardy–Littlewood inequality | Multilinear operators | Absolutely summing operators | Multilinear forms | POLYNOMIALS | MATHEMATICS | MATHEMATICS, APPLIED | MULTIPLE SUMMING OPERATORS | L(P) SPACES | Hardy-Littlewood inequality | Mathematics - Functional Analysis

Hardy–Littlewood inequality | Multilinear operators | Absolutely summing operators | Multilinear forms | POLYNOMIALS | MATHEMATICS | MATHEMATICS, APPLIED | MULTIPLE SUMMING OPERATORS | L(P) SPACES | Hardy-Littlewood inequality | Mathematics - Functional Analysis

Journal Article

Nonlinear analysis, ISSN 0362-546X, 2015, Volume 127, pp. 263 - 278

Extending several works, we prove a general Adams–Moser–Trudinger type inequality for the embedding of Bessel-potential spaces H̃np,p(Ω...

Moser–Trudinger inequalities | Nonlocal equations | Fractional Sobolev spaces | Moser-Trudinger inequalities | MATHEMATICS, APPLIED | Non local equations | INVARIANT 4TH-ORDER EQUATION | HIGHER-ORDER DERIVATIVES | SPACES | Moser Trudinger inequalities | SOBOLEV INEQUALITIES | ASYMPTOTIC-BEHAVIOR | MATHEMATICS | R-N | REGULARITY | UNBOUNDED-DOMAINS | CONSTANT Q-CURVATURE | OPERATORS | Operators | Mathematical analysis | Inequalities | Texts | Constants | Orlicz space | Estimates | Sharpness

Moser–Trudinger inequalities | Nonlocal equations | Fractional Sobolev spaces | Moser-Trudinger inequalities | MATHEMATICS, APPLIED | Non local equations | INVARIANT 4TH-ORDER EQUATION | HIGHER-ORDER DERIVATIVES | SPACES | Moser Trudinger inequalities | SOBOLEV INEQUALITIES | ASYMPTOTIC-BEHAVIOR | MATHEMATICS | R-N | REGULARITY | UNBOUNDED-DOMAINS | CONSTANT Q-CURVATURE | OPERATORS | Operators | Mathematical analysis | Inequalities | Texts | Constants | Orlicz space | Estimates | Sharpness

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

Journal of inequalities and applications, ISSN 1029-242X, 2019, Volume 2019, Issue 1, pp. 1 - 12

.... An interesting aspect is the generalization of classical inequalities via AB-fractional integral operators...

AB-fractional integral operator | Mathematics, general | Mathematics | Applications of Mathematics | Minkowski inequality | Analysis | MATHEMATICS | MATHEMATICS, APPLIED | Operators (mathematics) | Integrals | Fractional calculus

AB-fractional integral operator | Mathematics, general | Mathematics | Applications of Mathematics | Minkowski inequality | Analysis | MATHEMATICS | MATHEMATICS, APPLIED | Operators (mathematics) | Integrals | Fractional calculus

Journal Article

Calculus of Variations and Partial Differential Equations, ISSN 0944-2669, 8/2017, Volume 56, Issue 4, pp. 1 - 18

.... We show that the following conditions are equivalent: (i) $$\Omega $$ Ω is a John domain; (ii) for a fixed $$p\in (1,\infty )$$ p ∈ ( 1 , ∞ ) , the Korn inequality holds for each...

Systems Theory, Control | Calculus of Variations and Optimal Control; Optimization | Analysis | Theoretical, Mathematical and Computational Physics | 35A01 | Secondary 35F05 | Mathematics | Primary 35A23 | 26D15 | MATHEMATICS | COUNTEREXAMPLES | MATHEMATICS, APPLIED | SOBOLEV SPACES | POINCARE | IMPLIES JOHN | FRIEDRICHS | PROOF | DIVERGENCE OPERATOR | Equality

Systems Theory, Control | Calculus of Variations and Optimal Control; Optimization | Analysis | Theoretical, Mathematical and Computational Physics | 35A01 | Secondary 35F05 | Mathematics | Primary 35A23 | 26D15 | MATHEMATICS | COUNTEREXAMPLES | MATHEMATICS, APPLIED | SOBOLEV SPACES | POINCARE | IMPLIES JOHN | FRIEDRICHS | PROOF | DIVERGENCE OPERATOR | Equality

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

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