Hardy inequalities with mixed norms

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August undefined, 2024

WebDec 1, 2013 · Investigation of the weighted iterated Hardy-type inequalities started in [5] and [6]. In [15] a unified method was created for solution of these inequalities for all … WebWeighted inequalities of Hardy type. E. N. Batuev, V. Stepanov. Published 1989. Mathematics. Siberian Mathematical Journal. As an application of the statements regarding the Steklov operators, we give an a priori estimate in weighted norms (necessary and sufficient conditions) of the solution of the Cauchy problem for the wave equation. i.

EUDML First order interpolation inequalities with weights

WebMar 26, 2024 · We study the properties of solutions of the mixed Dirichlet–Robin and Neumann–Robin problems for the linear system of elasticity theory in the exterior of a compact set and the asymptotic behavior of solutions of these problems at infinity under the assumption that the energy integral with weight x a is finite for such solutions. We use … WebJan 1, 2000 · We dene and investigate general mixed-norm type sequence spaces, and strengthen inequalities of Hardy-Littlewood, Hausdor-Y oung, and others. Discover the world's research 20+ million members instatruck perth

Weighted Norm Inequalities for Certain Integral Operators

WebNov 14, 2011 · Weighted inequalities for certain Hardy-type averaging operators in are shown to be equivalent to weighted inequalities for one-dimensional operators. Known results for the one-dimensional operators are applied to give weight characterisations, with best constants in some cases, in the higher-dimensional setting. WebJun 1, 2024 · Request PDF Mixed Norm Inequalities for Lebesgue Spaces We give necessary and sufficient condition for the two-dimensional mixed norm Hardy inequality to hold with functions that are non ... WebAug 9, 2024 · The second one is to provide a detailed proof for a useful inequality about mixed Lebesgue norms and the Hardy--Littlewood maximal operator and also to improve some known results on the maximal function characterizations of anisotropic mixed-norm Hardy spaces and the boundedness of Calderón--Zygmund operators from these … instatronics website

ON WEIGHTED INEQUALITIES WITH GEOMETRIC MEAN OPERATOR

Dual spaces of mixed-norm martingale Hardy spaces

WebJun 5, 2024 · The inequalities are valid for all functions for which the right-hand sides are finite, except when $ f $ vanishes almost-everywhere on $ ( 0, + \infty ) $. (In this case … WebJan 1, 2008 · Abstract. In this note we provide simple and short proofs for a class of inequalities of Caffarelli–Kohn–Nirenberg type with sharp constants. Our approach suggests some definitions of weighted Sobolev spaces and their embedding into weighted L 2 spaces. These may be useful in studying solvability of problems involving new singular … jlink manager software downloadWebIn this paper, we prove analogues of O’Neil’s inequalities for the convolution in the weighted Lebesgue spaces. We also establish the weighted two-sided norm inequalities for the potential operator. 18 PDF Weighted Norm Inequalities for Convolution and Riesz Potential E. Nursultanov, S. Tikhonov Mathematics Potential Analysis 2014 jlink no emulators connected via usb怎么解决

"WebDec 1, 2011 · Keywords: Hardy inequality, r everse Hardy inequality, mixed norm, Hardy–Steklo v operator. 1. Citations (4) References (12) ... " - Hardy inequalities with mixed norms

Hardy inequalities with mixed norms

WebIn the course of proving the nal form of each the discrete and continuous cases of the Hardy Inequality, Hardy and his contemporaries proved various related results. Focusing primarily on the contributions from Hardy’s 1915 [4], 1919 [5], and 1920 [6] articles, relevant results will be presented here. 2.3.1 1915 Article WebThe paper discusses a new iterated discrete inequality of Hardy type involving an operator with some matrix kernel. Under certain conditions on this matrix kernel, the given ... [22] D. V. PROKHOROV,V.D.STEPANOV,On weighted Hardyinequalities in mixed norms, Proc. Steklov Inst. Math. 283 (2013), 149–164, https: ...

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WebHARDY INEQUALITIES WITH MIXED NORMS J. SCOTT BRADLEY*1* ABSTRACT. We give a necessary and sufficient condition on weight functions u and v such that for l WebApr 12, 2024 · Moreover, we get some norm inequalities for partitioned operators and for Cartesian decomposition of operators. ... (such as Hardy spaces, mixed norm spaces, Bloch spaces and BMOA). I will treat three types of definitions for : Hadamard, Flett, and Riemann-Liouville. This is based on a joint work with Fang Xiang, Guo Feng and Zhu …

WebNov 14, 2011 · Hardy inequalities with mixed norms. Canad. Math. Bull. 21 ( 1978 ), 405 –08. CrossRef Google Scholar 3 Carro, M. J. and Soria, J.. Weighted Lorentz spaces and the Hardy operator. J. Funct. Anal. 112 ( 1993 ), 480 –94. CrossRef Google Scholar 4 Ferreyra, E. V.. Weighted Lorentz norm inequalities for integral operators. WebReferences top [1] J. Scott Bradley: Hardy inequalities with mixed norms. Canad. Math Bull21 (1978) 405-408. Zbl0402.26006 MR523580 [2] L. Caffarelli, R. Kohn and L. Nirenberg: Partial regularity of suitable weak solutions of the Navier-Stokes equations.

WebAug 8, 2024 · The first one is to give a survey on the recent developments of function spaces with mixed norms, including mixed Lebesgue spaces, iterated weak Lebesgue spaces, weak mixed-norm Lebesgue... Web[1] Bradley, J.S., Hardy inequalities with mixed norms, Canad.Math. Bull., 1978, 21(4): 405-408. [2] Chen, Y.Z. and Lau, K.-S., Some new classes of Hardy spaces, J ...

WebWeighted Norm Inequalities for Certain Integral Operators ... Weighted weak type Hardy inequalities with applications to Hilbert transforms and maximal functions ... inequalities with indices less than 1, Proc. Amer. Math. Soc., 83 (1981), 532–536. Google Scholar. 3. J. Scott Bradley, Hardy inequalities with mixed norms, Canad. Math. Bull ...

r^> dri dx)lAi-c( i i/wuwip^)i/p-A corresponding dual result is also given. This extends a result of B. instatronics llcWebHARDY INEQUALITIES WITH MIXED NORMS J. SCOTT BRADLEY*1* ABSTRACT. We give a necessary and sufficient condition on weight functions u and v such that for … instatrim whiteWebNov 20, 2024 · Hardy Inequalities with Mixed Norms - Volume 21 Issue 4. To save this article to your Kindle, first ensure [email protected] is added to your … jlink no emulators connectedWebMorrey spaces as well as anisotropic mixed-norm Hardy spaces. The second one is to provide a detailed proof for a useful inequality about mixed Lebesgue norms and the Hardy–Littlewood maximal operator and also to improve some known results on the maximal function characterizations of anisotropic mixed-norm Hardy spaces and jlink no target connected jlink out of syncWebthe anisotropic mixed-norm Hardy space deﬁned via the radial maximal function. Using ... konwn Hardy–Littlewood inequality for Hardy spaces, that is, for any ﬁxed p ∈ (0,1], there exists ... insta tryWebDec 1, 2008 · We give a characterization of pairs of weights for the validity of weighted inequalities involving certain generalized geometric mean operators generated by some Volterra integral operators, which include the Hardy averaging operator and the Riemann–Liouville integral operators. The estimations of the constants are also discussed. jlink jpackage compress