Boundary behavior of functions holomorphic in domains of finite type

  1. Alexander Nagel*,
  2. Elias M. Stein†, and
  3. Stephen Wainger*
  1. *Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
  2. †Department of Mathematics, Princeton University, Princeton, New Jersey 08544

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.

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  1. PNAS 1981-11 vol. 78 no. 11 6596-6599
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