On the regularity of maximal operators

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August undefined, 2024

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 … 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 ...

On the regularity and continuity of the multilinear fractional …

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

[PDF] Regularity of Commutators of Maximal Operators with …

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. 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 ... 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 … highest mountain new zealand

Regularity of Local Bilinear Maximal Operator Request PDF

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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 … 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 how good is dragonflightWeb28 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 … highest mountain on mars planet

"WebWe also investigate the almost everywhere and weak convergence under the action of the classical Hardy-Littlewood maximal operator, both in its global and local versions. Now on home page ads " - On the regularity of maximal operators

On the regularity of maximal operators

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 ... 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 …

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

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, … 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 …

Web15 de abr. de 2024 · Let G be an infinite connected graph. We study the Sobolev regularity for the Hardy–Littlewood maximal operator and its fractional variants on G. Under … 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 ...

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 ...

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 … highest mountain on every continentWebON 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. highest mountain oklahomaWebThe 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. how good is dry cleaningWeb6 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, … highest mountain not in himalayasWeb27 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) … highest mountain on earth before mt everestWeb14 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 … highest mountain on the east coastWeb1 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 … highest mountain on mirage island