On the regularity of maximal operators
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 … 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 …
On the regularity of maximal operators
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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 … Web9 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; …
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 … Web28 de set. de 2024 · The present situation is conveniently understood: A has maximal regularity if and only if − A is the generator of a holomorphic semigroup, see [33, …
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. 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 …
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) …
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 ... green cheap prom dressesWeb18 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 ... green checkbox clipartWebON 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. green chas cardWeb22 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 … greencheck apk downloadWeb23 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 … greenchase inn houstonWeb1 de dez. de 2016 · We study the regularity properties of several classes of discrete maximal operators acting on $\text{BV}(\mathbb{Z})$ functions or $\ell … green cheap purses on loanWebPROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 144, Number 5, May 2016, Pages 2015–2028 http://dx.doi.org/10.1090/proc/13012 Article … flow light grey sk713r