The index of singular integral operators in reflexive Orlicz spaces
type: Item
instance of: scholarly article
title: The index of singular integral operators in reflexive Orlicz spaces
zbMATH Open document ID: 0933.47033
DOI: 10.1007/BF02314841
author: Oleksiy Karlovych
published in: Mathematical Notes
publication date: 2000-03-27T00:00:00Z
review text: The author considers singular integral operators with matrix coefficients in the reflexive Orlicz space \(L^n_M(\Gamma)\), where \(\Gamma\) is a curve which satisfies the condition \[ \text{arg}(\tau -t)=-\delta(t)\log|\tau -t|+O(1), \] for \(\tau\rightarrow t\). In the article the formula, which connects the index of an operator under consideration and the index of a characterising function, is presented.
Mathematics Subject Classification ID: 47G10
Mathematics Subject Classification ID: 46E30
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 45P05
Mathematics Subject Classification ID: 47A53
zbMATH DE Number: 1294971
zbMATH Keywords: Orlicz spaces
zbMATH Keywords: Fredholm operator
zbMATH Keywords: index of an operator
zbMATH Keywords: singular integral operators
reviewed by: Maria Roginskaya
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1294971