Multipliers in holomorphic mean Lipschitz spaces on the unit ball
type: Item
instance of: scholarly article
title: Multipliers in holomorphic mean Lipschitz spaces on the unit ball
zbMATH Open document ID: 1248.32004
DOI: 10.1155/2012/869256
author: Hong Rae Cho
published in: Abstract and Applied Analysis
publication date: 2012-09-07T00:00:00Z
review text: Summary: For \(1 \leq p \leq \infty\) and \(s > 0\), let \(\Lambda^p_s\) be the holomorphic mean Lipschitz spaces on the unit ball in \(\mathbb C^n\). We shown that if \(s > n/p\), then \(\Lambda^p_s\) is a multiplicative algebra, and if \(s \leq n/p\), then \(\Lambda^p_s\) is not a multiplicative algebra. We give some sufficient conditions for a holomorphic function to be a pointwise multiplier of \(\Lambda^p_{n/p}\).
Mathematics Subject Classification ID: 32A37
zbMATH DE Number: 6078826
zbMATH Keywords: holomorphic mean Lipschitz spaces
zbMATH Keywords: unit ball
zbMATH Keywords: multiplier
Wikidata QID: Q58697005
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/869256
OpenAlex ID: W2166534420
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description: scientific article; zbMATH DE number 6078826