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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| Gepubliceerd in: | Proc Natl Acad Sci U S A |
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| Hoofdauteur: | |
| Formaat: | Artigo |
| Taal: | Inglês |
| Gepubliceerd in: |
National Academy of Sciences
1976
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| Onderwerpen: | |
| Online toegang: | 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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