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Book
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
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
Journal Article
by Chen, W and Chen, W and Ho, K.-P and Ho, K.-P and Jiao, Y and Jiao, Y and Zhou, D and Zhou, D
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
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
Journal Article
Journal of mathematical analysis and applications, ISSN 0022-247X, 2019, Volume 479, Issue 2, pp. 1456 - 1474
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
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
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
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
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
Journal Article
Journal of mathematical analysis and applications, ISSN 0022-247X, 2011, Volume 381, Issue 2, pp. 546 - 556
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
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
Journal Article
Numerical algorithms, ISSN 1572-9265, 2017, Volume 78, Issue 4, pp. 1045 - 1060
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
Journal Article
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