Toeplitz operators with PQC symbols on weighted Hardy spaces

Albrecht Böttcher; Ilya M. Spitkovsky

doi:10.1016/0022-1236(91)90020-6

Toeplitz operators with PQC symbols on weighted Hardy spaces

Albrecht Böttcher, Ilya M. Spitkovsky

Mathematics

Research output: Contribution to journal › Article › peer-review

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 H^p if and only if p belongs to M.

Original language	English (US)
Pages (from-to)	194-214
Number of pages	21
Journal	Journal of Functional Analysis
Volume	97
Issue number	1
DOIs	https://doi.org/10.1016/0022-1236(91)90020-6
State	Published - Apr 1991

ASJC Scopus subject areas

Analysis

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10.1016/0022-1236(91)90020-6

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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.",

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AB - 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.

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Toeplitz operators with PQC symbols on weighted Hardy spaces

Abstract

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