[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.b180020

COMPACT SUMS OF TOEPLITZ PRODUCTS ON WEIGHTED DIRICHLET SPACE OF THE UNIT BALL

Hu, Yinyin (Department of Mathematics Dalian Maritime university)
Lu, Yufeng (School of Mathematical Sciences Dalian University of Technology)

Publication Information

Bulletin of the Korean Mathematical Society / v.56, no.2, 2019 , pp. 319-331 More about this Journal

Abstract

On the weighted Dirichlet space, by the Sobolev's embedding theorem, we characterize the compactness for operators which are finite sums of products of several Toeplitz operators. Moreover, the essential spectrum of Toeplitz operator is characterized.

Keywords

Toeplitz operator; compactness; weighted Dirichlet space;

Citations & Related Records

Reference

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