Acta mathematica scientia,Series A ›› 2015, Vol. 35 ›› Issue (5): 956-969.

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Bounded, Compact and Fredholm Toeplitz Operators on Harmonic Dirichlet Space Dh1

Xia Jin, Wang Xiaofeng, Cao Guangfu   

  1. School of Mathematics and Information Science and Key Laboratory of Mathematics and Interdisciplinary, Guangzhou University, Guangzhou 510006
  • Received:2014-01-20 Revised:2015-04-20 Online:2015-10-25 Published:2015-10-25

Abstract:

We discuss the boundedness, compactness and spectra properties of the Toeplitz operators and Hankel operators on the Harmonic Dirichlet space Dh1; compute the Fredholm index of Fredholm Toeplitz operator.

Key words: Harmonic Dirichlet space, Toeplitz operator, Hankel operator, Fredholm index, Compactness

CLC Number: 

  • O177
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