Extending bounded type holomorphic mappings on a Banach space

Seán Dineen; Milena Venkova

doi:10.1016/j.jmaa.2004.04.011

Extending bounded type holomorphic mappings on a Banach space

Seán Dineen
, Milena Venkova

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

Abstract

We show that a Riemann domain Ω over a symmetrically regular Banach space E admits holomorphic extension to pseudo-convex domains over E″ with respect to two natural spaces of holomorphic functions of bounded type on Ω.

Original language	English
Pages (from-to)	645-658
Number of pages	14
Journal	Journal of Mathematical Analysis and Applications
Volume	297
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2004.04.011
Publication status	Published - 15 Sep 2004
Externally published	Yes

Keywords

Bounded spectrum
Holomorphic function
Symmetrically regular

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10.1016/j.jmaa.2004.04.011

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title = "Extending bounded type holomorphic mappings on a Banach space",

abstract = "We show that a Riemann domain Ω over a symmetrically regular Banach space E admits holomorphic extension to pseudo-convex domains over E″ with respect to two natural spaces of holomorphic functions of bounded type on Ω.",

keywords = "Bounded spectrum, Holomorphic function, Symmetrically regular",

author = "Se{\'a}n Dineen and Milena Venkova",

year = "2004",

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doi = "10.1016/j.jmaa.2004.04.011",

language = "English",

volume = "297",

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journal = "Journal of Mathematical Analysis and Applications",

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T1 - Extending bounded type holomorphic mappings on a Banach space

AU - Dineen, Seán

AU - Venkova, Milena

PY - 2004/9/15

Y1 - 2004/9/15

N2 - We show that a Riemann domain Ω over a symmetrically regular Banach space E admits holomorphic extension to pseudo-convex domains over E″ with respect to two natural spaces of holomorphic functions of bounded type on Ω.

AB - We show that a Riemann domain Ω over a symmetrically regular Banach space E admits holomorphic extension to pseudo-convex domains over E″ with respect to two natural spaces of holomorphic functions of bounded type on Ω.

KW - Bounded spectrum

KW - Holomorphic function

KW - Symmetrically regular

UR - https://www.scopus.com/pages/publications/4444257365

U2 - 10.1016/j.jmaa.2004.04.011

DO - 10.1016/j.jmaa.2004.04.011

M3 - Article

AN - SCOPUS:4444257365

SN - 0022-247X

VL - 297

SP - 645

EP - 658

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Extending bounded type holomorphic mappings on a Banach space

Abstract

Keywords

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Cite this