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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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書目詳細資料
主要作者: Stein, Elias M.
格式: Artigo
語言:Inglês
出版: 1976
主題:
在線閱讀:https://ncbi.nlm.nih.gov/pmc/articles/PMC430684/
https://ncbi.nlm.nih.gov/pubmed/16592338
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