On the regularity of maximal operators

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August undefined, 2024

Web20 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 … WebPROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 144, Number 5, May 2016, Pages 2015–2028 http://dx.doi.org/10.1090/proc/13012 Article …

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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 … 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 … great south janney

On the regularity and continuity of the multilinear fractional strong ...

Web18 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 ... 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 … 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 … florence geriatric health alliance 2022

[0809.4044] On the regularity of maximal operators

Regularity of Commutators of the One-Sided Hardy-Littlewood Maximal …

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 ... WebHardy–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 ... great south korean moviesWeb6 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, … great southland of the holy spirit chords

"WebThis 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 ... " - On the regularity of maximal operators

On the regularity of maximal operators

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 … 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 ...

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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 … 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 ...

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. Web6 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 …

Web29 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 … 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

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) …

WebThe regularity theory of maximal operators is an active topic of current research. A driving question related to this theory is whether a given maximal operator improves, preserves or destroys the a priori regularity of an initial datum f. In 1997, Kinnunen [16] rst studied the Sobolev regularity for the Hardy{Littlewood maximal operator Mf(x ... great south leagueWebOn the regularity of maximal operators Emanuel Carneiro Department of Mathematics, University of Texas at Austin, Austin, TX 78712-1082. [email protected] and … great southland of the holy spirit youtubeWeb3 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 … great southland revivalWeb28 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 … florence geriatric healthWebIn 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 great south lakesWeb1 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 … florence from the machineWebThis 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 - … great southland lyrics