2024 Hardy inequalities with mixed norms

Hardy inequalities with mixed norms

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August undefined, 2024

WebIn 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 WebDec 1, 2013 · On weighted Hardy inequalities in mixed norms Authors: D. V. Prokhorov V. D. Stepanov Abstract A characterization of weighted Hardy inequalities in mixed norms on a half-axis is obtained. No...

On weighted Hardy inequalities in mixed norms - ResearchGate

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 … Webthe Hardy inequality with weights of Muckenhoupt (1972) as well as the mixed norm versions due to Hardy and Littlewood (1930), Bliss (1930), and Bradley (1978). An … earth tengshe

Mixed Norm Inequalities for Lebesgue Spaces Request PDF

WebMorrey 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 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. WebWe study the Hardy–Littlewood–Sobolev inequality on mixed-norm Lebesgue spaces. We give a complete characterization of indices \vec p and \vec q such that the Riesz … earth temple wind waker location

MCA Free Full-Text Mixed Boundary Value Problems for the …

WebHigher dimensional mixed norm type inequalities involving certain integral operators are characterized in terms of the corresponding lower dimensional inequalities. Keywords 26D1026D15Hardy inequalityreverse Hardy inequalitymixed normHardy–Steklov operator Type Research Article Information Canadian Mathematical Bulletin, Volume 54, WebApr 30, 2024 · In this paper, we generalize the Doob's maximal inequality for mixed-norm L p → spaces. We consider martingale Hardy spaces defined with the help of mixed L p → -norm. A new atomic decomposition is given for these spaces via simple atoms. The dual spaces of the mixed-norm martingale Hardy spaces is given as the mixed-norm B M O … earth temple wind waker musicWebJan 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 … earth template for preschool

"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 … " - Hardy inequalities with mixed norms

Hardy inequalities with mixed norms

Hardy–Littlewood–Sobolev Inequality on Mixed-Norm …

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: ... 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 …

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WebJun 8, 2024 · For more mixed norm inequalities involving different operators, one may refer to [ 3, 4, 5 ]. In this paper, we re-investigate ( 1.1) for those functions f which are … WebMorrey 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 …

WebMikhail Borsuk, Vladimir Kondratiev, in North-Holland Mathematical Library, 2006. 2.7 Notes. The classical Hardy inequality was first proved by G. Hardy [142].The various … WebDec 4, 2024 · In this paper, we consider a new weak norm, iterated weak norm in Lebesgue spaces with mixed norms. We study properties of the mixed weak norm and the iterated weak norm and present the relationship between the two weak norms. Even for the ordinary Lebesgue spaces, the two weak norms are not equivalent and any one of …

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. 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 …

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WebJan 20, 2024 · Hardy–Littlewood–Sobolev Inequality on Mixed-Norm Lebesgue Spaces. Ting Chen, Wenchang Sun. Published 20 January 2024. Materials Science. The Journal … ctree rWebJan 30, 2024 · The method gives a simple proof of a characterization of validity of the weighted bilinear Hardy inequality. for all non-negative f, g on (a, b), for 1 < p 1, p 2, q < ∞. More equivalent characterizing conditions are presented. ... Bradley, J., Hardy inequalities with mixed norms, ... ctree protheusWebthe 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 ... earth tenders lawn grooming serviceWebJun 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 ... ctree r语言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. ctree serverWebDec 1, 2024 · In this paper a two-weight boundedness of multidimensional Hardy operator and its dual operator acting from one weighted variable Lebesgue spaces with mixed norm into other weighted variable ... ctree tableWeb[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 ... ctree sql