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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Boundary tangential convergence on spaces of homogeneous type


Authors: Patricio Cifuentes, José R. Dorronsoro and Juan Sueiro
Journal: Trans. Amer. Math. Soc. 332 (1992), 331-350
MSC: Primary 42B25; Secondary 22E30, 31B25
DOI: https://doi.org/10.1090/S0002-9947-1992-1069747-0
MathSciNet review: 1069747
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Abstract: We study tangential convergence of convolutions with approximate identities of functions defined on a homogeneous type space and having a certain regularity. Our results contain those already known for the Euclidean case and give new ones for stratified nilpotent Lie groups and for solutions of the Dirichlet problem on Lipschitz domains.


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DOI: https://doi.org/10.1090/S0002-9947-1992-1069747-0
Article copyright: © Copyright 1992 American Mathematical Society