Toeplitz Operators on Dirichlet-Type Space of Unit Ball

Jin Xia, Xiaofeng Wang and Guangfu Cao

Abstract and Applied Analysis, 2014, vol. 2014, 1-13

Abstract:

We construct a function in which is unbounded on any neighborhood of each boundary point of such that Toeplitz operator is a Schatten -class operator on Dirichlet-type space . Then, we discuss some algebraic properties of Toeplitz operators with radial symbols on the Dirichlet-type space . We determine when the product of two Toeplitz operators with radial symbols is a Toeplitz operator. We investigate the zero-product problem for several Toeplitz operators with radial symbols. Furthermore, the corresponding commuting problem of Toeplitz operators whose symbols are of the form is studied, where , , and is a radial function.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:927513

DOI: 10.1155/2014/927513

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