Toeplitz operators with PQC symbols on weighted Hardy spaces

Albrecht Böttcher, Ilya M. Spitkovsky

Research output: Contribution to journalArticle

Abstract

We prove a Fredholm criterion for Toeplitz operators with piecewise quasicontinuous symbols on weighted Hardy spaces, thus uniting part of the Gohberg-Krupnik and Sarason theories. The criterion established solved the problem of describing all the subsets M of (1, ∞) with the following property: there exists a Toeplitz operator which is Fredholm on Hp if and only if p belongs to M.

Original languageEnglish (US)
Pages (from-to)194-214
Number of pages21
JournalJournal of Functional Analysis
Volume97
Issue number1
DOIs
StatePublished - Apr 1991

ASJC Scopus subject areas

  • Analysis

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