On the regularity of maximal operators

Author: eydm

August undefined, 2024

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, … 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 …

REGULARITY OF THE FRACTIONAL MAXIMAL FUNCTION

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 ... 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 … in bag com

Sobolev Regularity of Maximal Operators on Infinite

WebIt is used to characterize maximal regularity of periodic Cauchy problems. Keywords: Fourier multipliers; Besov spaces; periodic solutions; Cauchy problem; maximal … 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 … 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. in badminton it is okay to touch the net

A Note on the Regularity of the Two-Dimensional One-Sided …

On the regularity of maximal operators supported by …

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) … 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 … dvd carnival of animalsWebOn the regularity of maximal operators Emanuel Carneiro Department of Mathematics, University of Texas at Austin, Austin, TX 78712-1082. [email protected] and … dvd case cover

"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 … " - On the regularity of maximal operators

On the regularity of maximal operators

$On the regularity and continuity of the multilinear fractional …$

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. Web28 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 …

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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. WebIn 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

Web1 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 … 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 …

WebThis 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 of the current open problems in the topic. Overall, a list of fifteen research problems is presented. It summarizes the contents of a talk delivered by the author at the CIMPA 2024 Research School - … WebThe 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

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 …

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, … in badminton how does a player start a rallyWeb20 de nov. de 2024 · It is proved that the multisublinear maximal operator is bounded on first-order Sobolev spaces. Moreover, two key point-wise inequalities for the partial … dvd carwashWebWe establish quantitative Green's function estimates, the arithmetic version of Anderson (and dynamical) localization, and the finite volume version of $(\frac 12-)$-Hölder … in bad windsheimWeb29 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 … dvd case magnetically sealed how to openWeb22 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 … dvd case with flash drive storageWeb3 de dez. de 2024 · We study the regularity properties of bilinear maximal operator. Some new bounds and continuity for the above operators are established on the Sobolev … dvd carlitos wayWebThis paper will be devoted to study the regularity and continuity properties of the following local multilinear fractional ... will be devoted to study the regularity and continuity properties of the following local multilinear fractional type maximal operators, $$\mathfrak{M}_{\alpha,\Omega}(\vec{f})(x)=\sup\limits_{0<{\rm dist}(x ... dvd cam for dash cars