Hyponormality of block Toeplitz operators on the weighted Bergman spaces

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Abstract

In this paper we consider the block Toeplitz operators TPhi on the weighted Bergman spaceAα2(D, Cn) and we give a necessary and sufficient condition for the hyponormality of block Toeplitz operators with symbol in the class of functionsΦ=F+G* with matrix-valued polynomial functions F and G with degree 2.

Original languageEnglish
Pages (from-to)1695-1704
Number of pages10
JournalActa Mathematica Scientia
Volume37
Issue number6
DOIs
StatePublished - Nov 2017
Externally publishedYes

Keywords

  • block Toeplitz operators
  • hyponormal
  • weighted Bergman space

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