A note on the convergence to initial data of heat and Poisson equations

DOI10.1090/S0002-9939-2012-11441-8zbMath1279.42012OpenAlexW1970674622MaRDI QIDQ4911834

José Luis Torrea, Silvia I. Hartzstein, Beatriz E. Viviani

Publication date: 20 March 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2012-11441-8

zbMATH Keywords

convergencesolutionweighted inequalitylocal maximal operatorheat and Poisson equation

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Initial value problems for linear higher-order PDEs (35G10)

Related Items

A.e. convergence and 2-weight inequalities for Poisson-Laguerre semigroups, On the pointwise convergence to initial data of heat and Poisson problems for the Bessel operator, A note on the almost everywhere convergence to initial data for some evolution equations, The initial heat distribution problem associated with the Ornstein-Uhlenbeck and Hermite equations, Pointwise convergence to initial data of heat and Laplace equations, Local maximal functions and operators associated to Laguerre expansions

Cites Work

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• Vector-valued inequalities with weights
• Weighted inequalities and a.e. convergence for Poisson integrals in light-cones
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• Boundedness of Fractional Operators on L p spaces with Different Weights
• Weighted Norm Inequalities for the Hardy Maximal Function