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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1981 Nov;78(11):6596–6599. doi: 10.1073/pnas.78.11.6596

Boundary behavior of functions holomorphic in domains of finite type

Alexander Nagel *, Elias M Stein , Stephen Wainger *
PMCID: PMC349095  PMID: 16593116

Abstract

We study several notions of distance and ball on the boundary of domains of finite type in Cn. We use these notions to develop a theory of maximal functions and area integrals for functions holomorphic in such domains.

Keywords: area integrals, maximal functions, pseudometrics

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