Acta Mathematica Sinica, English Series

, Volume 29, Issue 12, pp 2355–2366

Schatten p-class Toeplitz operators with unbounded symbols on pluriharmonic Bergman space


DOI: 10.1007/s10114-013-1581-x

Cite this article as:
Wang, X.F., Xia, J. & Cao, G.F. Acta. Math. Sin.-English Ser. (2013) 29: 2355. doi:10.1007/s10114-013-1581-x


In this paper, we construct the function u in L2(\(\mathbb{B}_n \), dA) which is unbounded on any neighborhood of each boundary point of \(\mathbb{B}_n \) such that Tu is the Schatten p-class (0 < p < ∞) operator on pluriharmonic Bergman space h2(\(\mathbb{B}_n \), dA) for several complex variables. In addition, we also discuss the compactness of Toeplitz operators with L1 symbols.


Toeplitz operators unbounded functions Schatten p-class operators 

MR(2010) Subject Classification

35Q99 35D10 78A99 

Copyright information

© Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.School of Mathematics and Information Science, Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong, Higher Education InstitutesGuangzhou UniversityGuangzhouP. R. China

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