Pointwise convergence to initial data of heat and Laplace equations

DOI10.1090/tran/6554zbMath1332.42018OpenAlexW2345932151MaRDI QIDQ2790739

Teresa Signes, Gustavo Garrigós, José Luis Torrea, Beatriz E. Viviani, Silvia I. Hartzstein

Publication date: 8 March 2016

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

Full work available at URL: http://hdl.handle.net/11336/31895

zbMATH Keywords

Poisson integralweighted inequalitiesOrnstein-UhlenbeckHermite operator

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Integral representations of solutions to PDEs (35C15) Convergence and divergence of integrals (40A10)

Related Items

A.e. convergence and 2-weight inequalities for Poisson-Laguerre semigroups, A Calderón theorem for the Poisson semigroups associated with the Ornstein-Uhlenbeck and Hermite operators, Mean value formulas for Ornstein-Uhlenbeck and Hermite temperatures, On the pointwise convergence to initial data of heat and Poisson problems for the Bessel operator, Pointwise convergence of fractional powers of Hermite type operators, The initial heat distribution problem associated with the Ornstein-Uhlenbeck and Hermite equations, A characterization of the Gaussian Lipschitz space and sharp estimates for the Ornstein-Uhlenbeck Poisson kernel, Lipschitz spaces adapted to Schrödinger operators and regularity properties

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