Journal of Guangxi Normal University(Natural Science Edition) ›› 2011, Vol. 29 ›› Issue (2): 50-55.

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Slant Toeplitz Operators on Dirichlet Space

ZHANG Guo-feng, YU Tao   

  1. College of Mathematics Physics and Information Engineering,Zhejiang Normal University, Jinhua Zhejiang 321004,China
  • Received:2011-01-17 Published:2018-11-19

Abstract: In this paper,slant Toeplitz operator on Dirichlet space is defined.Some operator properties of slant Toeplitz operator such as commuting and spectrum are discussed.It's proved that:if φ,ψ∈H∞1(D),then BφBψ=BψBφ if and only if φ and ψ are linearly dependent in H∞1(D);if φ,φ-1∈H∞1(D),then σp(Bφ)=σp(Bφ(z2)).

Key words: Dirichlet space, slant Toeplitz operator, commuting, spectrum

CLC Number: 

  • O177.1
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