Oscillation of holomorphic Bergman-Besov kernels on the ball

ÜREYEN A. E.

MONATSHEFTE FUR MATHEMATIK, vol.184, no.2, pp.297-323, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 184 Issue: 2
  • Publication Date: 2017
  • Doi Number: 10.1007/s00605-017-1043-0
  • Journal Name: MONATSHEFTE FUR MATHEMATIK
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.297-323
  • Keywords: Holomorphic Bergman-Besov spaces, Reproducing kernel, Oscillation, Derivative-free characterization, Unit ball, DIRICHLET TYPE SPACES, UNIT BALL, BLOCH SPACE, REPRODUCING KERNELS, PROJECTIONS
  • Anadolu University Affiliated: Yes

Abstract

We estimate the oscillation of holomorphic Bergman-Besov reproducing kernels on the unit ball of . As an application of this estimate we characterize holomorphic Bergman-Besov spaces in terms of double integrals of the fractions and and complete the earlier works done on this subject. Our results provide, when , a derivative-free characterization of .