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Toeplitz operators on Dirichlet-Besov spaces

Perälä, A., Taskinen, J. and Virtanen, J. (2017) Toeplitz operators on Dirichlet-Besov spaces. Houston Journal of Mathematics, 43 (1). pp. 93-108. ISSN 0362-1588

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Abstract/Summary

We study Toeplitz operators on the Besov spaces in the case of the open unit disk. We prove that a symbol satisfying a weak Lipschitz type condition induces a bounded Toeplitz operator. Such symbols do not need to be bounded functions or have continuous extensions to the boundary of the open unit disk. We discuss the problem of the existence of nontrivial compact Toeplitz operators, and also consider Fredholm properties and prove an index formula.

Item Type:Article
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:57706
Publisher:University of Houston, Texas

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