A new characterization of Dirichlet type spaces and applications
type: Item
instance of: scholarly article
title: A new characterization of Dirichlet type spaces and applications
zbMATH Open document ID: 0789.31009
author: Richard Rochberg
author: Z. Wu
published in: Illinois Journal of Mathematics
publication date: 1994-05-16T00:00:00Z
review text: The authors formulate a new characterization for Dirichlet type spaces and give two applications. First is a criterion for the boundedness of the small Hankel operators on Dirichlet type spaces in terms of the behavior of the symbol. The other application is a decomposition theorem for symbols which make the small Hankel operators bounded. Our results include earlier results about the boundedness of the small Hankel operators on the Hardy and the Bergman spaces and the corresponding decomposition theorems for the Bloch and BMO spaces.
reviewed by: Richard Rochberg
Mathematics Subject Classification ID: 31C25
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 33B15
Mathematics Subject Classification ID: 45P05
zbMATH DE Number: 561194
zbMATH Keywords: boundedness of small Hankel operators
zbMATH Keywords: characterization for Dirichlet type spaces
zbMATH Keywords: applications
zbMATH Keywords: decomposition theorem for symbols
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 561194