Closures of Hardy and Hardy–Sobolev Spaces in the Bloch Type Space on the Unit Ball

Jasbir Singh Manhas; Ruhan Zhao

doi:10.1007/s11785-017-0758-1

Closures of Hardy and Hardy–Sobolev Spaces in the Bloch Type Space on the Unit Ball

Jasbir Singh Manhas, Ruhan Zhao^*

^*Corresponding author for this work

Mathematics & Statistics

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

4 Citations (Scopus)

Abstract

For (Formula presented.), (Formula presented.) and (Formula presented.), we characterize the closures in the (Formula presented.)-Bloch norm of (Formula presented.)-Bloch functions that are in a Hardy space (Formula presented.) and in a Hardy–Sobolev space (Formula presented.) on the unit ball of (Formula presented.).

Original language	English
Pages (from-to)	1-11
Number of pages	11
Journal	Complex Analysis and Operator Theory
DOIs	https://doi.org/10.1007/s11785-017-0758-1
Publication status	Accepted/In press - Dec 29 2017

Keywords

Bloch type spaces
Closure
Hardy spaces
Hardy–Sobolev spaces

ASJC Scopus subject areas

Computational Mathematics
Computational Theory and Mathematics
Applied Mathematics

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10.1007/s11785-017-0758-1

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abstract = "For (Formula presented.), (Formula presented.) and (Formula presented.), we characterize the closures in the (Formula presented.)-Bloch norm of (Formula presented.)-Bloch functions that are in a Hardy space (Formula presented.) and in a Hardy–Sobolev space (Formula presented.) on the unit ball of (Formula presented.).",

keywords = "Bloch type spaces, Closure, Hardy spaces, Hardy–Sobolev spaces",

author = "Manhas, {Jasbir Singh} and Ruhan Zhao",

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AU - Manhas, Jasbir Singh

AU - Zhao, Ruhan

PY - 2017/12/29

Y1 - 2017/12/29

N2 - For (Formula presented.), (Formula presented.) and (Formula presented.), we characterize the closures in the (Formula presented.)-Bloch norm of (Formula presented.)-Bloch functions that are in a Hardy space (Formula presented.) and in a Hardy–Sobolev space (Formula presented.) on the unit ball of (Formula presented.).

AB - For (Formula presented.), (Formula presented.) and (Formula presented.), we characterize the closures in the (Formula presented.)-Bloch norm of (Formula presented.)-Bloch functions that are in a Hardy space (Formula presented.) and in a Hardy–Sobolev space (Formula presented.) on the unit ball of (Formula presented.).

KW - Bloch type spaces

KW - Closure

KW - Hardy spaces

KW - Hardy–Sobolev spaces

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Closures of Hardy and Hardy–Sobolev Spaces in the Bloch Type Space on the Unit Ball

Abstract

Keywords

ASJC Scopus subject areas

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