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Maximal functions: Poisson integrals on symmetric spaces

Let u be a harmonic function on a symmetric space which is the Poisson integral of a function f in L(p), 1 ≤ p ≤ ∞. Then u converges restrictedly and admissibly to f almost everywhere. This result is proved by obtaining an appropriate maximal theorem which takes into account the structure of the Poi...

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Detalles Bibliográficos
Publicado en:Proc Natl Acad Sci U S A
Autor Principal: Stein, Elias M.
Formato: Artigo
Idioma:Inglês
Publicado: National Academy of Sciences 1976
Assuntos:
Acceso en liña:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC430684/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16592338/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.73.8.2547
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