Now showing items 1-4 of 4

    • Analytic properties of Besov spaces via Bergman projections 

      Kaptanoğlu, H. T.; Üreyen, A. E. (American Mathematical Society, 2008)
      We consider two-parameter Besov spaces of holomorphic functions on the unit ball of CN: We obtain various exclusions between Besov spaces of di®erent parameters using gap series. We estimate the growth near the boundary ...
    • Carleson measures for Besov spaces on the ball with applications 

      Kaptanoǧlu H.T. (Academic Press, 2007)
      Carleson and vanishing Carleson measures for Besov spaces on the unit ball of CN are characterized in terms of Berezin transforms and Bergman-metric balls. The measures are defined via natural imbeddings of Besov spaces ...
    • Harmonic Besov spaces on the ball 

      Gergün, S.; Kaptanoğlu, H. T.; Üreyen, A. E. (World Scientific Publishing, 2016)
      We initiate a detailed study of two-parameter Besov spaces on the unit ball of ℝn consisting of harmonic functions whose sufficiently high-order radial derivatives lie in harmonic Bergman spaces. We compute the reproducing ...
    • Toeplitz operators on arveson and dirichlet spaces 

      Alpay, D.; Kaptanoǧlu, H. T. (Birkhaeuser Science, 2007)
      We define Toeplitz operators on all Dirichlet spaces on the unit ball of CN and develop their basic properties. We characterize bounded, compact, and Schatten-class Toeplitz operators with positive symbols in terms of ...