On the regularity of maximal operators
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 … 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 …
On the regularity of maximal operators
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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 … 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 …
WebAbstract. 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 … WebIt 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
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. 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, …
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.
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 … los angeles film workshopsWeb14 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 … los angeles finest roleplayWeb1 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 … los angeles fine arts and wine storageWeb28 de jul. de 2008 · On the regularity of maximal operators. We study the regularity of the bilinear maximal operator when applied to Sobolev functions, proving that it maps W … los angeles fire and policeWebThe regularity of maximal operators has also been studied on other spaces and for other maximal operators. We focus on the endpoint p= 1. For example in [12] Carneiro and Svaiter and in [8] and Carneiro and Gonz alez-Riquelme consider convolution maximal operators associated to certain partial di erential equations. los angeles film teachers associationWebCiteSeerX - 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 … los angeles fire captainWeb6 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 … los angeles fire affecting flights