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Toeplitz Operator for Dirichlet Space Through Sobolev Multiplier Algebra

Shuaibing Luo, Jie Xiao

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Source: Crossref

Published: Apr 1, 2018

DOI: 10.11650/tjm/170805

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Source abstract

This paper is mainly concerned with the Toeplitz operator TϕT_{\phi} over the Dirichlet space D\mathcal{D} with the symbol ϕ\phi in the Sobolev multiplier algebra M(W1,2(D))M(W^{1,2}(\mathbb{D})), thereby extending several known ones in a very different manner.

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Toeplitz Operator for Dirichlet Space Through Sobolev Multiplier Algebra — Mathematical Frontier Network