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On the regularity of maximal operators

WebWhen β=0, the operators M+ β (resp., M − β) reduce to the one-sided Hardy-Littlewood maximal functions M+ (resp., M−). The study of the one-sided maximal operators origi-nated ergodic maximal operator (see [24]). The one-sided fractional maximal operators have a close connection with the well-known Riemann-Liouville fractional integral ... Web1 de set. de 2024 · Another way to extend the regularity theory of maximal operators is to study its behavior on different smooth function spaces. Particularly, Korry [12] , [13] …

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Web1 de dez. de 2024 · The regularity theory of maximal operators is an active topic of current re-search. This program was initiated in the seminal w ork of Kinnunen [10]w h o. quadros tok stok enjoei https://zigglezag.com

(PDF) On the regularity of maximal operators - Academia.edu

WebWe also investigate the almost everywhere and weak convergence under the action of the classical Hardy-Littlewood maximal operator, both in its global and local versions. Now on home page ads Web23 de dez. de 2016 · The purpose of this work is to show that the fractional maximal operator has somewhat unexpected regularity properties. The main result shows that the fractional maximal operator maps L p-spaces boundedly into certain first-order Sobolev spaces.It is also proved that the fractional maximal operator preserves first-order … Web18 de fev. de 2024 · The regularity of maximal operators has also been studied for other maximal operators and on other spaces. We focus on the endpoint \(p=1\). In Carneiro and Svaiter and in Carneiro and González-Riquelme investigated maximal convolution operators \({\mathrm {M}}\) associated to certain partial differential equations. Analogous ... domino u33

On the endpoint regularity of discrete maximal operators

Category:On the regularity and continuity of the multilinear fractional …

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On the regularity of maximal operators

(PDF) On the regularity of maximal operators - Academia.edu

Web27 de nov. de 2024 · This is an expository paper on the regularity theory of maximal operators, when these act on Sobolev and BV functions, with a special focus on some … WebON THE REGULARITY OF MAXIMAL OPERATORS EMANUEL CARNEIRO AND DIEGO MOREIRA Abstract. We study the regularity of the bilinear maximal operator when applied to Sobolev functions, proving that it maps W 1,p(R) × W,q(R) → W1,r(R) with 1 <∞ and r≥ 1, boundedly and continuously. The same result holds on Rn when r>1.

On the regularity of maximal operators

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Web4 de nov. de 2024 · We prove that maximal operators of convolution type associated to smooth kernels are bounded in the homogeneous Hardy–Sobolev spaces Ḣ1,p(Rd) … WebIn a very recent article [], Liu and Zhang introduced the Hajłasz–Sobolev spaces on an infinite connected graph G and established the boundedness for the Hardy–Littlewood maximal operators on G and its fractional variant on the above function spaces and the endpoint Sobolev spaces.The main purpose of this paper is extending the above results …

WebPROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 144, Number 5, May 2016, Pages 2015–2028 http://dx.doi.org/10.1090/proc/13012 Article … WebSince then, many works had been done. In 2011, Grafakos et al defined and considered the boundedness of multilinear strong maximal functions (2011, J. Geom. Anal.). This talk will be focused on the regularity and continuity of multilinear strong maximal operators on several function spaces. 报告人简介：

Web6 de set. de 2013 · DOI: 10.4310/MRL.2012.v19.n6.a6 Corpus ID: 55930372; On the endpoint regularity of discrete maximal operators @article{Carneiro2013OnTE, … Web23 de set. de 2024 · Request PDF On Sep 23, 2024, Feng Liu and others published Regularity of Commutators of Maximal Operators with Lipschitz Symbols Find, read and cite all the research you need on ResearchGate

Web14 de abr. de 2024 · We extend the recently much-studied Hardy factorization theorems to the weight case. The key point of this paper is to establish the factorization theorems …

WebThe regularity theory of maximal operators is an active topic of current research. A driving question related to this theory is whether a given maximal operator improves, preserves or destroys the a priori regularity of an initial datum f. In 1997, Kinnunen [16] rst studied the Sobolev regularity for the Hardy{Littlewood maximal operator Mf(x ... quadro strumenti suzuki santana sj 410Web9 de jun. de 2003 · On the regularity of maximal operators supported by submanifolds. Journal of Mathematical Analysis and Applications, Vol. 453, Issue. 1, p. 144. CrossRef; … quadro ugradbena pećnica i pločaWebIn this paper, we try to solve the problem which arises in connection with the stability theory of a periodic equilibrium solution of Navier-Stokes equations on an infinite strip quadro tlakovci cijenaWeb10 de dez. de 2024 · This is an expository paper on the regularity theory of maximal operators, when these act on Sobolev and BV functions, with a special focus on some … domino ukWebRemark 3: Another interesting variant would be to consider the spherical maximal operator [3, 16] and its discrete analogue . The non-endpoint regularity of the continuous operator in Sobolev spaces was proved in and it would be interesting to investigate what happens in the endpoint case, both in the continuous and in the discrete settings. domino uklpWeb4 de out. de 2024 · For the developments related to endpoint regularity of maximal operators, we refer the reader to [ 1, 2, 3, 5 ], among others. It should be pointed out … domino ul mogilskaWebThe regularity of a maximal operator was rst studied in [Kin97], where Kinnunen proved that for p>1 and f2W1;p(Rd) the bound krMfk p C d;pkrfk p (1.1) holds, from which it follows that the Hardy-Littlewood maximal operator is bounded on W1;p(Rd). Originally, Kinnunen proved (1.1) only for the Hardy-Littlewood maximal operator which averages domino ulazna vrata pvc