The definition of Toeplitz operators in the Bergman space [InlineMediaObject not available: see fulltext.] of square integrable analytic functions in the unit disk in the complex plane is extended in such a way that it covers many cases where the traditional definition does not work. This includes, in particular, highly singular symbols such as measures, distributions, and certain hyperfunctions. Bibliography: 22 titles.

Original languageEnglish
Pages (from-to)582-609
Number of pages28
JournalJournal of Mathematical Sciences (United States)
Volume213
Issue number4
Early online date2 Feb 2016
DOIs
StatePublished - 2016
Externally publishedYes

    Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Applied Mathematics

    Research areas

  • Toeplitz operator, Bergman space, Reproduce Kernel Hilbert Space, Rank Operator, Carleson measure

ID: 50650447