On the regularity of maximal operators

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 ... 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 ...

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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 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： hillsborough county construction type codes https://artsenemy.com

On the Regularity of the Multisublinear Maximal Functions

WebRemark 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. Web1 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 … 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 … smart health walking to watch

Maximal regularity for elliptic operators with second-order ...

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On the regularity of maximal operators

[PDF] Regularity of Commutators of Maximal Operators with …

Web10 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 …

On the regularity of maximal operators

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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 … 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 …

WebWe establish quantitative Green's function estimates, the arithmetic version of Anderson (and dynamical) localization, and the finite volume version of $(\frac 12-)$-Hölder … WebOn the regularity of maximal operators Emanuel Carneiro Department of Mathematics, University of Texas at Austin, Austin, TX 78712-1082. [email protected] and …

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, … 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) …

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.

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. hillsborough county court schedulingWeb18 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 ... hillsborough county corridor preservation mapWebHardy–Littlewood maximal inequality [ edit] This theorem of G. H. Hardy and J. E. Littlewood states that M is bounded as a sublinear operator from the Lp ( Rd) to itself for p > 1. That is, if f ∈ Lp ( Rd) then the maximal function Mf is weak L1 -bounded and Mf ∈ Lp ( Rd ). Before stating the theorem more precisely, for simplicity, let ... hillsborough county corrections nhWeb29 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 … smart health watch instructions pdfWeb6 de set. de 2013 · Title: On the endpoint regularity of discrete maximal operators. ... We also prove the same result for the non-centered version of this discrete maximal … hillsborough county court nashua nhWebIt is used to characterize maximal regularity of periodic Cauchy problems. Keywords: Fourier multipliers; Besov spaces; periodic solutions; Cauchy problem; maximal regularity 2000 Mathematics subject classification: Primary 47D06; 42A45 1. Introduction In a series of recent publications, operator-valued Fourier multiplier theorems on diverse smart health walking watchWeb24 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 ... smart health walking fit watch