Results 1 to 10 of about 274,043 (302)
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 $1 1$. We also investigate the almost everywhere and weak convergence under the action of the classical Hardy-Littlewood maximal operator, both in its global and ...
Emanuel Carneiro, Diego Moreira
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Maximal regularity and hardy spaces [PDF]
Collectanea mathematica, 2008 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. We show the boundedness of the operator of maximal regularity $f\mapsto Au$ and its adjoint on appropriate Hardy spaces which we define and ...
Auscher, Pascal +2 more
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Continuous maximal regularity on uniformly regular Riemannian manifolds [PDF]
J. Evol. Equ. 14, no. 1, 211248, 2014, 2013 We establish continuous maximal regularity results for parabolic differential operators acting on sections of tensor bundles on Riemannian manifolds. As an application, we show that solutions to the Yamabe flow instantaneously regularize and become real analytic in space and time.
Yuanzhen Shao, Gieri Simonett
arxiv +5 more sources
Stochastic maximal Lp-regularity
The Annals of Probability, 2012 Published in at http://dx.doi.org/10.1214/10-AOP626 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
van Neerven, Jan +2 more
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Fractional Maximal Functions in Metric Measure Spaces [PDF]
Analysis and Geometry in Metric Spaces, 2013 We study the mapping properties of fractional maximal operators in Sobolev and Campanato spaces in metric measure spaces. We show that, under certain restrictions on the underlying metric measure space, fractional maximal operators improve the Sobolev ...
Heikkinen Toni +3 more
doaj +3 more sources
On maximal regularity for the Cauchy-Dirichlet mixed parabolic problem with fractional time derivative [PDF]
Bruno Pini Mathematical Analysis Seminar, 2018 In this seminar we illustrate some results of maximal regularity for the Cauchy-Dirichlet mixed problem, with a fractional time derivative of Caputo type in spaces of continuous and Hölder continuous functions.
Davide Guidetti
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Compressions of resolvents and maximal radius of regularity [PDF]
Transactions of the American Mathematical Society, 1999 Suppose that λ − T \lambda - T is left invertible in L ( H ) L(H) for all λ ∈ Ω \lambda \in \Omega , where Ω \Omega is an open subset of the complex plane.
Badea, Catalin, Mbekhta, Mostafa
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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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The regularity of binomial edge ideals of graphs [PDF]
AUT Journal of Mathematics and Computing, 2020 In this paper, we study the Castelnuovo-Mumford regularity and the graded Betti numbers of the binomial edge ideals of some classes of graphs. Our special attention is devoted to a conjecture which asserts that the number of maximal cliques of a graph ...
Sara Saeedi Madani, Dariush Kiani
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Maximal Regularity of the Discrete Harmonic Oscillator Equation
Advances in Difference Equations, 2009 We give a representation of the solution for the best approximation of the harmonic oscillator equation formulated in a general Banach space setting, and a characterization of -maximal regularity—or well posedness—solely in terms of ...
Lizama Carlos +2 more
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