On the regularity of maximal operators

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： Webthe maximal operator. While the Christ-Goldberg maximal operator MW was sufficient to prove strong (p,p) bounds for singular integrals, it has the drawback that it maps a vector-valued function f~ to scalar-valued function M W f~. Therefore, it cannot be iterated, and so cannot be usedto constructa Rubiode Francia iterationoperator.

Regularity and Continuity of Local Multilinear Maximal Type …

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 … 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, … shutter speed vs focal length https://alscsf.org

Localization and Regularity of the Integrated Density of States for ...

Web29 de mar. de 2024 · Several new pointwise estimates for the derivative of the local multilinear maximal function {\mathfrak {M}}_ {0,\Omega } and the fractional maximal … Web24 de fev. de 2024 · On the regularity and continuity of the multilinear fractional strong maximal operators. Feng Liu, Corresponding Author. Feng Liu [email protected] ... main purpose of this paper is to study the regularity and continuity properties of the multilinear fractional strong maximal operators associated with rectangles M α, R (f ... 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 ... shutter speed worksheet

Regularity of the Fractional Maximal Function - Kinnunen - 2003 ...

Category:ON BOUNDEDNESS OF MAXIMAL FUNCTIONS IN SOBOLEV …

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On the regularity of maximal operators

[0809.4044] On the regularity of maximal operators

Web22 de dez. de 2009 · We prove weighted estimates for the maximal regularity operator. Such estimates were motivated by boundary value problems. We take this opportunity to study a class of weak solutions to the abstract Cauchy problem. We also give a new proof of maximal regularity for closed and maximal accretive operators following from Kato’s … 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 ...

On the regularity of maximal operators

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Web11 de dez. de 2015 · A REMARK ON THE REGULARITY OF THE DISCRETE MAXIMAL OPERATOR. Bulletin of the Australian Mathematical Society, Vol. 95, Issue. 1, p. 108. CrossRef; Google Scholar; Liu, Feng and Xu, Lei 2024. A Note on the Regularity of the Two-Dimensional One-Sided Hardy-Littlewood Maximal Function. WebPROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 144, Number 5, May 2016, Pages 2015–2028 http://dx.doi.org/10.1090/proc/13012 Article electronically ...

Webmaximal function in the Sobolev space W1;p(), p > n=(n 1). We also raise many questions concerning boundedness of maximal operators in Sobolev spaces. 1. Introduction The theory of Sobolev spaces and the Hardy{Littlewood maximal function, one of the most important tools in analysis, have been developed a great deal for more than seven … 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

Web1 de jun. de 2024 · It should be pointed out that the fractional maximal operators M α,G and M α,G were first introduced by Liu and Zhang [23] who investigated the Lebesgue … Web4 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 …

Web27 de out. de 2024 · Título: Recent trends in regularity theory of nonlinear PDEs Palestrante: João Vitor da Silva (UnB) Data: 07/06/2024 Título: Maximal bifurcation of nonlinear equations as a nonlinear generalized of Perron-Frobenius eigenvalue Palestrante: Yavdat Ilyasov (Institute of Mathematics of Russian Academy of Science, Ufa, Russia) …

Web19 de out. de 2024 · Here, we show that the same happens for a class of degenerate second-order operators. We deduce maximal regularity from the R-boundedness of … the palms supper club schofieldWeb15 de abr. de 2024 · Let G be an infinite connected graph. We study the Sobolev regularity for the Hardy–Littlewood maximal operator and its fractional variants on G. Under … the palms supper club wausauWebAbstract. We investigate the regularity properties of the two-dimensional one-sided Hardy-Littlewood maximal operator. We point out that the above operator is bounded and continuous on the Sobolev spaces for and .More importantly, we establish the sharp boundedness and continuity for the discrete two-dimensional one-sided Hardy … the palms tampa flWeb1 de jan. de 2024 · This paper is devoted to studying Sobolev regularity properties of commutators of Hardy–Littlewood maximal operator and its fractional case with Lipschitz symbols, both in the global and local case. Some new pointwise estimates for the weak gradients of the above commutators will be established. As applications, some bounds … the palm stateWebThe 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 the palm steakhouseWeb12 de jan. de 2010 · On the regularity of maximal operators supported by submanifolds. Journal of Mathematical Analysis and Applications, Vol. 453, Issue. 1, p. 144. CrossRef; … the palms sun city azWebIn 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 the palms surgery gorey co wexford