On the regularity of maximal operators
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. 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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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 … WebCiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Abstract. We study the regularity of the bilinear maximal operator when applied to Sobolev functions, proving that it maps W 1,p (R) × W 1,q (R) → W 1,r (R) with 1 < p, q < ∞ and r ≥ 1, boundedly and continuously. The same result holds on R n when r> 1. We also …
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 ... Web12 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; …
WebOn the regularity of maximal operators Emanuel Carneiro Department of Mathematics, University of Texas at Austin, Austin, TX 78712-1082. [email protected] and … 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) …
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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 chintz lamp shadeWebRemark 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. chintz lawn chairWeb10 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 … chintz loveseatchintz floral sofasWeb27 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 … chintz meaning cheaplyWeb6 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, … chintz living room furnitureWeb23 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 … granola in air fryer