On Tu-Toeplitzness of weighted composition operators on H2

Sungeun Jung, Eungil Ko

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

In this paper, we show that (Formula presented.) is (Formula presented.) -Toeplitz if and only if (Formula presented.) , where (Formula presented.) is a nonconstant inner function. We also provide necessary and sufficient conditions for (Formula presented.) -Toeplitzness of (Formula presented.). Indeed, (Formula presented.) is (Formula presented.) -Toeplitz if and only if (Formula presented.) is an inner function. Finally, we study several conditions for the product (Formula presented.) to be Toeplitz.

Original languageEnglish
Pages (from-to)1522-1538
Number of pages17
JournalComplex Variables and Elliptic Equations
Volume60
Issue number11
DOIs
StatePublished - 2 Nov 2015

Keywords

  • S-Toeplitz operator
  • hardy space
  • inner function
  • weighted composition operator

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