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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...

Täydet tiedot

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Bibliografiset tiedot
Julkaisussa:Proc Natl Acad Sci U S A
Päätekijä: Stein, Elias M.
Aineistotyyppi: Artigo
Kieli:Inglês
Julkaistu: National Academy of Sciences 1976
Aiheet:
Linkit: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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