2005, 1st ed., North-Holland mathematical library, ISBN 9780444517951, Volume 67, 606

The book addresses many important new developments in the field. All the topics covered are of great interest to the readers because such inequalities have...

Inequalities (Mathematics)

Inequalities (Mathematics)

eBook

2004, Mathematical Association of America, ISBN 9780521546775, x, 306

This lively, problem-oriented text, first published in 2004, is designed to coach readers toward mastery of the most fundamental mathematical inequalities....

Inequalities (Mathematics)

Inequalities (Mathematics)

Book

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 02/2019, Volume 470, Issue 1, pp. 360 - 374

We prove an improved version of the trace-Hardy inequality, so-called Kato's inequality, on the half-space in Finsler context. The resulting inequality extends...

Hyper-geometric function | Finsler norm | Trace-Hardy inequality | MATHEMATICS | MATHEMATICS, APPLIED | HALF-SPACE | SOBOLEV INEQUALITIES | Equality

Hyper-geometric function | Finsler norm | Trace-Hardy inequality | MATHEMATICS | MATHEMATICS, APPLIED | HALF-SPACE | SOBOLEV INEQUALITIES | Equality

Journal Article

1998, Lectures notes in mathematics, ISBN 9783540639022, Volume 1679., viii, 114

Book

1990, Pitman research notes in mathematics series, ISBN 9780470215845, Volume 219., 333

Book

数学学报：英文版, ISSN 1439-8516, 2016, Volume 32, Issue 7, pp. 856 - 866

Let M be a complete, simply connected Riemannian manifold with negative curvature. We obtain an interpolation of Hardy inequality and Moser-Trudinger...

Hardy不等式 | 插值 | 负曲率流形 | 黎曼流形 | 58E35 | 46E35 | Moser–Trudinger inequality | Mathematics, general | Hardy inequality | Mathematics | negative curvature | Riemannian manifold | MATHEMATICS | MATHEMATICS, APPLIED | R-N | Moser-Trudinger inequality | ADAMS-TYPE INEQUALITIES | UNBOUNDED-DOMAINS | HYPERBOLIC SPACES | SOBOLEV INEQUALITIES | Equality | Studies | Mathematical models | Topological manifolds | Inequality | Manifolds | Interpolation | Constants | Mathematical analysis | Curvature | Inequalities

Hardy不等式 | 插值 | 负曲率流形 | 黎曼流形 | 58E35 | 46E35 | Moser–Trudinger inequality | Mathematics, general | Hardy inequality | Mathematics | negative curvature | Riemannian manifold | MATHEMATICS | MATHEMATICS, APPLIED | R-N | Moser-Trudinger inequality | ADAMS-TYPE INEQUALITIES | UNBOUNDED-DOMAINS | HYPERBOLIC SPACES | SOBOLEV INEQUALITIES | Equality | Studies | Mathematical models | Topological manifolds | Inequality | Manifolds | Interpolation | Constants | Mathematical analysis | Curvature | Inequalities

Journal Article

2000, Mathematics and its applications, ISBN 079236483X, Volume 517, vii, 237

Book

Journal of Functional Analysis, ISSN 0022-1236, 06/2016, Volume 270, Issue 11, pp. 4117 - 4151

We prove a trace Hardy type inequality with the best constant on the polyhedral convex cones which generalizes recent results of Alvino et al. and of Tzirakis...

Logarithmic Hardy trace inequality | Trace Hardy–Sobolev–Maz'ya type inequality | Logarithmic Sobolev trace inequality | Trace Hardy type inequality | Trace Hardy-Sobolev-Maz'ya type inequality | MATHEMATICS | SHARP CONSTANTS | EQUATION

Logarithmic Hardy trace inequality | Trace Hardy–Sobolev–Maz'ya type inequality | Logarithmic Sobolev trace inequality | Trace Hardy type inequality | Trace Hardy-Sobolev-Maz'ya type inequality | MATHEMATICS | SHARP CONSTANTS | EQUATION

Journal Article

Journal of Functional Analysis, ISSN 0022-1236, 06/2016, Volume 270, Issue 12, pp. 4513 - 4539

In this work we establish sharp weighted trace Hardy inequalities with trace remainder terms involving the critical Sobolev exponent corrected by a singular...

Weighted trace Hardy inequality | Hardy–Sobolev inequality | Fractional Laplacian | Critical Sobolev exponent | Hardy-Sobolev inequality | LAPLACIAN | MATHEMATICS | REGULARITY | EQUATIONS | OPERATORS | EXTENSION PROBLEM

Weighted trace Hardy inequality | Hardy–Sobolev inequality | Fractional Laplacian | Critical Sobolev exponent | Hardy-Sobolev inequality | LAPLACIAN | MATHEMATICS | REGULARITY | EQUATIONS | OPERATORS | EXTENSION PROBLEM

Journal Article

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, ISSN 0025-5645, 01/2018, Volume 70, Issue 1, pp. 141 - 152

We prove a sharp integral inequality valid for non-negative functions defined on [0,1], with given L-1 norm. This is in fact a generalization of the well known...

MATHEMATICS | reverse Holder inequalities | Hardy inequalities | weights | LITTLEWOOD

MATHEMATICS | reverse Holder inequalities | Hardy inequalities | weights | LITTLEWOOD

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 12/2015, Volume 143, Issue 12, pp. 5233 - 5238

We give a variant of the Bohenblust-Hille inequality which, for certain families of polynomials, leads to constants with polynomial growth in the degree.

Bohnenblust–Hille inequality | Polynomials | Helson inequality | MATHEMATICS | MATHEMATICS, APPLIED | Bohnenblust-Hille inequality | HARDY | polynomials | Mathematics - Functional Analysis

Bohnenblust–Hille inequality | Polynomials | Helson inequality | MATHEMATICS | MATHEMATICS, APPLIED | Bohnenblust-Hille inequality | HARDY | polynomials | Mathematics - Functional Analysis

Journal Article

Journal of Inequalities and Applications, ISSN 1029-242X, 12/2018, Volume 2018, Issue 1, pp. 1 - 6

We present a new proof of Hardy’s inequality by giving an Lp version of Carleson’s inequality.

Inequality | 26A51 | 26D10 | Hardy inequality | Polya–Knopp inequality | Research | 26A15 | Carleson’s inequality

Inequality | 26A51 | 26D10 | Hardy inequality | Polya–Knopp inequality | Research | 26A15 | Carleson’s inequality

Journal Article

Advances in Mathematics, ISSN 0001-8708, 05/2012, Volume 230, Issue 1, pp. 294 - 320

In this paper we obtain an inequality on the unit disk B in R2, which improves the classical Moser–Trudinger inequality and the classical Hardy inequality at...

Extremal | Hardy inequality | Hardy–Moser–Trudinger inequality | Moser–Trudinger inequality | Hardy-Moser-Trudinger inequality | Moser-Trudinger inequality | EXISTENCE | MATHEMATICS | SOBOLEV-MAZYA INEQUALITY | HIGHER-ORDER | ORLICZ SPACES | EXTREMAL-FUNCTIONS | ELLIPTIC-EQUATIONS | SHARP FORM | Equality | Analysis of PDEs | Mathematics

Extremal | Hardy inequality | Hardy–Moser–Trudinger inequality | Moser–Trudinger inequality | Hardy-Moser-Trudinger inequality | Moser-Trudinger inequality | EXISTENCE | MATHEMATICS | SOBOLEV-MAZYA INEQUALITY | HIGHER-ORDER | ORLICZ SPACES | EXTREMAL-FUNCTIONS | ELLIPTIC-EQUATIONS | SHARP FORM | Equality | Analysis of PDEs | Mathematics

Journal Article

Communications in Contemporary Mathematics, ISSN 0219-1997, 06/2018, Volume 20, Issue 4, p. 1750034

In this paper, we derive the following Leray–Trudinger type inequality on a bounded domain Ω in ℝ n containing the origin. sup u ∈ W 0 1 , n ( Ω ) , I n [ u ,...

Leray potential | borderline Sobolev embedding | Hardy inequality | MOSER TYPE INEQUALITY | MATHEMATICS | MATHEMATICS, APPLIED | NONTRIVIAL SOLUTION | ELLIPTIC EQUATION | UNBOUNDED-DOMAINS | P HARDY INEQUALITIES | Equality

Leray potential | borderline Sobolev embedding | Hardy inequality | MOSER TYPE INEQUALITY | MATHEMATICS | MATHEMATICS, APPLIED | NONTRIVIAL SOLUTION | ELLIPTIC EQUATION | UNBOUNDED-DOMAINS | P HARDY INEQUALITIES | Equality

Journal Article

2003, ISBN 9812381953, xviii, 357

Book

JOURNAL OF INEQUALITIES AND APPLICATIONS, ISSN 1029-242X, 04/2018

We present a new proof of Hardy's inequality by giving an L-p version of Carleson's inequality.

MATHEMATICS | MATHEMATICS, APPLIED | Hardy inequality | Carleson's inequality | Polya-Knopp inequality

MATHEMATICS | MATHEMATICS, APPLIED | Hardy inequality | Carleson's inequality | Polya-Knopp inequality

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. In this paper we...

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, 02/2020, Volume 191, p. 111634

This is a complement of the former works by Costin and Maz’ya (2008) [2] and Hamamoto and Takahashi (2019) [6], on sharp Hardy–Leray inequality for solenoidal...

Poloidal | Toroidal | Laplace–Beltrami operator | Solenoidal | Hardy–Leray inequality | MATHEMATICS | MATHEMATICS, APPLIED | Hardy-Leray inequality | Laplace-Beltrami operator | Divergence

Poloidal | Toroidal | Laplace–Beltrami operator | Solenoidal | Hardy–Leray inequality | MATHEMATICS | MATHEMATICS, APPLIED | Hardy-Leray inequality | Laplace-Beltrami operator | Divergence

Journal Article

Communications in Contemporary Mathematics, ISSN 0219-1997, 08/2019, Volume 21, Issue 5, p. 1850028

The existence of optimizers u in the space Ẇ s , p ( ℝ N ) , with differentiability order s ∈ ] 0 , 1 [ , for the Hardy–Sobolev inequality is established...

decay estimates | fractional (Formula presented.)-Laplacian | concentration-compactness | Fractional Hardy–Sobolev inequality | MATHEMATICS | fractional p-Laplacian | MATHEMATICS, APPLIED | MULTIPLICITY | POSITIVE SOLUTIONS | Fractional Hardy-Sobolev inequality | EQUATION | Equality

decay estimates | fractional (Formula presented.)-Laplacian | concentration-compactness | Fractional Hardy–Sobolev inequality | MATHEMATICS | fractional p-Laplacian | MATHEMATICS, APPLIED | MULTIPLICITY | POSITIVE SOLUTIONS | Fractional Hardy-Sobolev inequality | EQUATION | 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. Hardy...

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

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