On the regularity of maximal operators

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： 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) …

Variation of the dyadic maximal function - Aalto SCI MS

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. WebWe establish quantitative Green's function estimates, the arithmetic version of Anderson (and dynamical) localization, and the finite volume version of $(\frac 12-)$-Hölder … c und a winterjacke jungen https://boutiquepasapas.com

Regularity of Commutators of Maximal Operators with Lipschitz …

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 operator. Subjects: Classical Analysis and ODEs (math.CA); Functional Analysis (math.FA) MSC classes: 42B25, 46E35: Cite as: arXiv:1309.1535 [math.CA] WebOn the regularity of maximal operators. × Close Log In. Log in with Facebook Log in with Google. or. Email. Password. Remember me on this computer. or reset password. Enter the email address you signed up with and we'll email you a reset link. Need an account? Click here to sign up. Log In Sign Up. Log In; Sign ... 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 … easy artisan bread recipe no dutch oven

On the Regularity of the Multisublinear Maximal Functions

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On the regularity of maximal operators

Regularity of Local Bilinear Maximal Operator SpringerLink

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 &gt; 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 ... WebIt is used to characterize maximal regularity of periodic Cauchy problems. Keywords: Fourier multipliers; Besov spaces; periodic solutions; Cauchy problem; maximal …

On the regularity of maximal operators

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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 … 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.

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 … 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; …

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 … 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 …

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

Web23 de set. de 2024 · Request PDF On Sep 23, 2024, Feng Liu and others published Regularity of Commutators of Maximal Operators with Lipschitz Symbols Find, read and cite all the research you need on ResearchGate easy art lesson year 3WebIn 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 … easy art lesson for kidsWeb12 de jan. de 2010 · On the regularity of maximal operators supported by submanifolds. Journal of Mathematical Analysis and Applications, Vol. 453, Issue. 1, p. 144. CrossRef; … easy art pieces to write aboutWebOn the regularity of maximal operators Emanuel Carneiro Department of Mathematics, University of Texas at Austin, Austin, TX 78712-1082. [email protected] and … easy art lessons for preschoolersWebEndpoint regularity of discrete multisublinear fractional maximal operators associated with ℓ 1 $\ell^{1}$ -balls. Journal of Inequalities and Applications, Vol. 2024, Issue. 1, CrossRef easy art projects for 3rd gradersWeb29 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 … easy art pictures for kidsWeb1 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 … easy art painting ideas for kids