Results 11 to 20 of about 101,397 (323)
On the regularity of maximal operators [PDF]
Proceedings of the American Mathematical Society, 2008 We study the regularity of the bilinear maximal operator when applied to Sobolev functions, proving that it maps $W^{1,p}(\mathbb{R}) \times W^{1,q}(\mathbb{R}) \to W^{1,r}(\mathbb{R})$ with $1 1$.
Carneiro, Emanuel, Moreira, Diego
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Maximal regularity and Hardy spaces
Collectanea mathematica, 2007 In this work, we consider the Cauchy problem for $u' - Au = f$ with $A$ the Laplacian operator on some Riemannian manifolds or a sublapacian on some Lie groups or some second order elliptic operators on a domain.
Auscher, Pascal +2 more
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Stochastic maximal $L^p$-regularity
The Annals of Probability, 2012 In this article we prove a maximal $L^p$-regularity result for stochastic convolutions, which extends Krylov's basic mixed $L^p(L^q)$-inequality for the Laplace operator on ${\mathbb{R}}^d$ to large classes of elliptic operators, both on ${\mathbb{R}}^d$
van Neerven, Jan +2 more
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, 2021 AbstractIn this chapter, we address the issue of maximal regularity. More precisely, we provide a criterion on the ‘structure’ of the evolutionary equation $$\displaystyle \left (\overline {\partial _{t,\nu }M(\partial _{t,\nu })+A}\right )U=F $$
Christian Seifert +2 more
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Regularity of the local fractional maximal function [PDF]
Arkiv för Matematik, 2014 This paper studies smoothing properties of the local fractional maximal operator, which is defined in a proper subdomain of the Euclidean space. We prove new pointwise estimates for the weak gradient of the maximal function, which imply norm estimates in Sobolev spaces.
Toni Heikkinen +3 more
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The maximal regularity operator on tent spaces
Communications on Pure and Applied Analysis, 2012 Recently, Auscher and Axelsson gave a new approach to non-smooth boundary value problems with $L^{2}$ data, that relies on some appropriate weighted maximal regularity estimates. As part of the development of the corresponding $L^{p}$ theory, we prove here the relevant weighted maximal estimates in tent spaces $T^{p,2}$ for $p$ in a certain open range.
Pascal Auscher +2 more
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On surfaces of maximal sectional regularity
Taiwanese Journal of Mathematics, 2015 We study projective surfaces $X \subset \mathbb{P}^r$ (with $r \geq 5$) of maximal sectional regularity and degree $d > r$, hence surfaces for which the Castelnuovo-Mumford regularity $\reg(\mathcal{C})$ of a general hyperplane section curve $\mathcal{C} = X \cap \mathbb{P}^{r-1}$ takes the maximally possible value $d-r+3$. We use the classification
Markus Brodmann +3 more
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A characterization of regular maximal ideals [PDF]
Pacific Journal of Mathematics, 1969 We show that if A is generated by a single element then a closed subspace M of codimension one in A and satisfying (1) is a regular maximal ideal and we show by an example that this result may fail for an algebra which is generated two elements. We have results related to the above, which can be applied to Lι(G), where G is a locally compact abelian ...
Warner, C. Robert, Whitley, Robert
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Remarks on Maximal Regularity [PDF]
, 2011 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 inequality for fractional ...
Andreas Axelsson +2 more
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On projective curves of maximal regularity [PDF]
Mathematische Zeitschrift, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brodmann, Markus, Schenzel, Peter
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