Vol. 167, No. 1, 1995

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Local reproducing kernels on wedge-like domains with type 2 edges

Al Boggess and Alexander Nagel

Vol. 167 (1995), No. 1, 1–47
Abstract

We represent holomorphic functions on a wedge-like domain by positive integral kernels which are defined on the edge of the wedge. Type 2 edges are considered. As an application, we show that an Hp function on a wedge has pointwise almost everywhere limits on the edge within admissable approach regions in the wedge.

Mathematical Subject Classification 2000
Primary: 32A25
Secondary: 32A07, 32A40, 32F25, 46E22
Milestones
Received: 12 August 1992
Published: 1 January 1995
Authors
Al Boggess
Alexander Nagel
Department of Mathematics
University of Wisconsin
480 Lincoln Drive
Madison WI 53706-1388
United States
http://www.math.edu/~nagel