Closures of Hardy and Hardy-Sobolev spaces in the Bloch type space on the unit ball
type: Item
instance of: scholarly article
title: Closures of Hardy and Hardy-Sobolev spaces in the Bloch type space on the unit ball
zbMATH Open document ID: 1404.32006
author: J. S. Manhas
author: Ruhan Zhao
published in: Complex Analysis and Operator Theory
publication date: 2018-07-23T00:00:00Z
review text: There have been several papers in the literature concerning of the closure in BMOA or in the Bloch space of various subsets. The present paper gives a characterization of the norm closure in the \(\alpha\)-Bloch space of its subset of Hardy-Sobolev functions. This is done in the setting of the open unit ball in \(\mathbb C^n\).
Mathematics Subject Classification ID: 32A35
Mathematics Subject Classification ID: 32A18
Mathematics Subject Classification ID: 32A37
zbMATH DE Number: 6909445
zbMATH Keywords: Bloch space
zbMATH Keywords: BMO
zbMATH Keywords: Hardy-Sobolev spaces
reviewed by: Kehe Zhu
MaRDI profile type: Publication
full work available at URL: s11785-017-0758-1
OpenAlex ID: W2777613955
cites work: Maximal and area integral characterizations of Hardy-Sobolev spaces in the unit ball of \({\mathbb{C}}^ n\)
cites work: Q4043323
cites work: Embedding derivatives of \({\mathcal M}\)-harmonic functions into \(L^p\) spaces
cites work: \(H^p\) spaces of several variables
cites work: Closure of Hardy spaces in the Bloch space
cites work: Embedding derivatives of \(\mathcal{M}\)-harmonic Hardy spaces \(\mathcal{H}^ P\) into Lebesgue spaces, \(0<p<2\)
cites work: Embedding Derivatives of Hardy Spaces into Lebesgue Spaces
cites work: Pointwise multipliers and corona type decomposition in \(BMOA\)
cites work: Integration operators between Hardy spaces on the unit ball of \(\mathbb{C}^n\)
cites work: Theory of Bergman Spaces in the Unit Ball of C^n
cites work: Spaces of Holomorphic Functions in the Unit Ball
DOI: 10.1007/S11785-017-0758-1
description: scientific article; zbMATH DE number 6909445