Class of singular integral operators
type: Item
instance of: scholarly article
title: Class of singular integral operators
zbMATH Open document ID: 0728.45014
DOI: 10.1007/BF01066909
author: E. A. Pavlov
published in: Ukrainian Mathematical Journal
publication date: 1991-01-01T00:00:00Z
review text: The author formulates conditions for the continuity on symmetric spaces of convolution-type integral operators whose kernels are singular at the origin. In particular, sufficient conditions are indicated for the continuity of Hilbert operators, and a characterization of such operators is obtained in a certain class of integral operators.
Mathematics Subject Classification ID: 45P05
Mathematics Subject Classification ID: 45E10
Mathematics Subject Classification ID: 47G10
Mathematics Subject Classification ID: 47B38
zbMATH DE Number: 4203038
zbMATH Keywords: singular integral operators
zbMATH Keywords: continuity
zbMATH Keywords: symmetric spaces
zbMATH Keywords: convolution- type integral operators
zbMATH Keywords: Hilbert operators
reviewed by: C. Constanda
MaRDI profile type: Publication
cites work: The Hilbert Transform on Rearrangement-Invariant Spaces
cites work: Q5640160
cites work: Q5607484
cites work: Q4097705
cites work: Q3961369
description: scientific article; zbMATH DE number 4203038