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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Nontangential maximal functions over compact Riemannian manifolds


Author: B. E. Blank
Journal: Proc. Amer. Math. Soc. 103 (1988), 999-1002
MSC: Primary 58G16; Secondary 31C12, 42B25
DOI: https://doi.org/10.1090/S0002-9939-1988-0947697-X
MathSciNet review: 947697
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Abstract: The nontangential maximal function associated to the Poisson semigroup for a compact Riemannian manifold is shown to be weak type (1,1) and $ {L^p}$ bounded $ (p > 1)$.


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DOI: https://doi.org/10.1090/S0002-9939-1988-0947697-X
Article copyright: © Copyright 1988 American Mathematical Society