Distributional boundary values of holomorphic functions on product domains

Debraj Chakrabarti; Rasul Shafikov

doi:10.1007/s00209-016-1796-5

Distributional boundary values of holomorphic functions on product domains

Debraj Chakrabarti, Rasul Shafikov

Mathematics

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

Abstract

We show that holomorphic functions of polynomial growth on domains with corners have distributional boundary values in an appropriate sense, provided the corners are generic CR manifolds. We also prove an analog of the Bochner–Hartogs theorem for these boundary values for the simplest such domains, the product domains.

Original language	English
Pages (from-to)	1145-1171
Number of pages	27
Journal	Mathematische Zeitschrift
Volume	286
Issue number	3-4
DOIs	https://doi.org/10.1007/s00209-016-1796-5
State	Published - Aug 1 2017

Keywords

32A40
46F20

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10.1007/s00209-016-1796-5

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title = "Distributional boundary values of holomorphic functions on product domains",

abstract = "We show that holomorphic functions of polynomial growth on domains with corners have distributional boundary values in an appropriate sense, provided the corners are generic CR manifolds. We also prove an analog of the Bochner–Hartogs theorem for these boundary values for the simplest such domains, the product domains.",

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AU - Shafikov, Rasul

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Distributional boundary values of holomorphic functions on product domains

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