Random Dirichlet type functions on the unit ball of \(\mathbb{C}^n\)
type: Item
instance of: scholarly article
title: Random Dirichlet type functions on the unit ball of \(\mathbb{C}^n\)
zbMATH Open document ID: 0941.32004
DOI: 10.1142/S0252959999000424
published in: Chinese Annals of Mathematics. Series B
publication date: 2000-07-30T00:00:00Z
review text: The authors study two aspects of random Dirichlet type functions on the unit ball of \(\mathbb{C}^n\). One is the pointwise multiplier property into the Dirichlet type spaces and the other is the smoothness property given by Lipschitz conditions. The authors generalize previously known one dimensional results obtained in the work [\textit{W. G. Cochran, J. H. Shapiro} and \textit{D. C. Ullrich}, Can. J. Math. 45, No. 2, 255-268 (1993; Zbl 0776.30002)]. While the main idea comes from the above mentioned paper, there are some technicalities caused by the higher dimensions.
Mathematics Subject Classification ID: 32A30
Mathematics Subject Classification ID: 32A37
Mathematics Subject Classification ID: 30B20
Mathematics Subject Classification ID: 47B38
zbMATH DE Number: 1385324
zbMATH Keywords: randomization
zbMATH Keywords: Hardy space
zbMATH Keywords: multiplier
zbMATH Keywords: Lipschitz condition
author: Pengyan Hu
author: Jihuai Shi
reviewed by: Boo Rim Choe
MaRDI profile type: Publication
full work available at URL: s0252959999000424
OpenAlex ID: W2352022240
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description: scientific article; zbMATH DE number 1385324