Abstract:Abstract. Compared with harmonic Bergman spaces, this paper introduces a new function space which is called the pluriharmonic Hardy space h 2 (T 2 ). We character (semi-) commuting Toeplitz operators on h 2 (T 2 ) with bounded pluriharmonic symbols. Interestingly, these results are quite different from the corresponding properties of Toeplitz operators on Hardy spaces, Bergman spaces and harmonic Bergman spaces. Our method for Toeplitz operators on h 2 (T 2 ) gives new insight into the study of commuting Toepl… Show more
“…For detailed information on the theory of Bergman spaces we refer the reader to the books [9] and [10]. For a different approach of investigation, we refer the reader to [1], [2], [4], [5], [6], [7], [11] and the references therein.…”
Institute of Mathematics of the Czech Academy of Sciences provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use.This document has been digitized, optimized for electronic delivery and stamped with digital signature within the project DML-CZ: The Czech Digital Mathematics Library http://dml.cz
“…For detailed information on the theory of Bergman spaces we refer the reader to the books [9] and [10]. For a different approach of investigation, we refer the reader to [1], [2], [4], [5], [6], [7], [11] and the references therein.…”
Institute of Mathematics of the Czech Academy of Sciences provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use.This document has been digitized, optimized for electronic delivery and stamped with digital signature within the project DML-CZ: The Czech Digital Mathematics Library http://dml.cz
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