Weighted inequalities and a.e. convergence for Poisson integrals in light-cones

DOI10.1007/s00208-006-0023-9zbMath1108.31004OpenAlexW1989014011MaRDI QIDQ2433984

Gustavo Garrigós, Ewa Damek, José Luis Torrea, Eleonor O. Harboure

Publication date: 31 October 2006

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-006-0023-9

zbMATH Keywords

Poisson integralweighted Lebesgue spaceMuckenhoupt class

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05)

Related Items (2)

A note on the almost everywhere convergence to initial data for some evolution equations ⋮ A note on the convergence to initial data of heat and Poisson equations

Cites Work

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• Boundary behavior of harmonic functions on symmetric spaces: maximal estimates for Poisson integrals
• Calderón-Zygmund theory for operator-valued kernels
• Admissible convergence of Poisson integrals in symmetric spaces
• The Hua operators on bounded symmetric domains of tube type
• Admissible convergence for the Poisson-Szegö integrals
• A Poisson integral for homogeneous wedge domains
• Almost Everywhere Convergence of Poisson Integrals on Tube Domains over Cones
• On the Convergence of Poisson Integrals
• H² spaces of generalized half-planes
• Boundedness of Bergman projections on tube domains over light cones

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