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

Al Boggess; Alexander Nagel

doi:10.2140/pjm.1995.167.1

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

Al Boggess, Alexander Nagel

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English (US)
Pages (from-to)	1-47
Number of pages	47
Journal	Pacific Journal of Mathematics
Volume	167
Issue number	1
DOIs	https://doi.org/10.2140/pjm.1995.167.1
State	Published - Jan 1995
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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title = "Local reproducing kernels on wedge-like domains with type 2 edges",

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.",

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AB - 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.

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

Abstract

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