• Title of article

    Double Integral Characterization for Bergman Spaces

  • Author/Authors

    Hassanlou ، Mostafa Shahid Bakeri High Education Center of Miandoab - Urmia University , Vaezi ، Hamid ‎Faculty of Mathematical Sciences‎ - ‎University of Tabriz‎

  • From page
    27
  • To page
    34
  • Abstract
    In this paper we characterize Bergman spaces with respect to double integral of the functions |f(z)−f(w)|/|z−w|, |f(z)−f(w)|/ (z,w) and |f(z) − f(w)|/beta(z,w), where and beta are the pseudo-hyperbolic and hyperbolic metrics. We prove some necessary and sufficient conditions that implies a function to be in Bergman spaces.
  • Keywords
    Bergman spaces , Pseudo , hyperbolic metric , Hyperbolic metric , Double integral.
  • Journal title
    Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
  • Journal title
    Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
  • Record number

    2505991

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2505991