Hardy spaces of holomorphic functions for domains in Cn with Minimal Smoothness

Loredana Lanzani; Elias M. Stein

doi:10.1007/978-3-319-30961-3_11

Hardy spaces of holomorphic functions for domains in Cⁿ with Minimal Smoothness

Loredana Lanzani, Elias M. Stein

Department of Mathematics

Research output: Chapter in Book/Entry/Poem › Chapter

2 Scopus citations

Abstract

We prove various representations and density results for Hardy spaces of holomorphic functions for two classes of bounded domains in Cⁿ, whose boundaries satisfy minimal regularity conditions (namely the classes C² and C^{1, 1}, respectively) together with naturally occurring notions of convexity.

Original language	English (US)
Title of host publication	Association for Women in Mathematics Series
Publisher	Springer
Pages	179-199
Number of pages	21
DOIs	https://doi.org/10.1007/978-3-319-30961-3_11
State	Published - 2016

Publication series

Name	Association for Women in Mathematics Series
Volume	4
ISSN (Print)	2364-5733
ISSN (Electronic)	2364-5741

ASJC Scopus subject areas

Gender Studies
Mathematics(all)

Access to Document

10.1007/978-3-319-30961-3_11

Cite this

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abstract = "We prove various representations and density results for Hardy spaces of holomorphic functions for two classes of bounded domains in Cn, whose boundaries satisfy minimal regularity conditions (namely the classes C2 and C1, 1, respectively) together with naturally occurring notions of convexity.",

author = "Loredana Lanzani and Stein, {Elias M.}",

note = "Funding Information: Acknowledgements Loredana Lanzani is supported in part by the National Science Foundation, awards DMS-1001304 and DMS-1503612. Elias M. Stein is supported in part by the National Science Foundation, awards DMS-0901040 and DMS-1265524. Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2016.",

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