Oscillation of holomorphic Bergman-Besov kernels on the ball

ÜREYEN A. E.

MONATSHEFTE FUR MATHEMATIK, cilt.184, sa.2, ss.297-323, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 184 Sayı: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s00605-017-1043-0
  • Dergi Adı: MONATSHEFTE FUR MATHEMATIK
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.297-323
  • Anahtar Kelimeler: Holomorphic Bergman-Besov spaces, Reproducing kernel, Oscillation, Derivative-free characterization, Unit ball, DIRICHLET TYPE SPACES, UNIT BALL, BLOCH SPACE, REPRODUCING KERNELS, PROJECTIONS
  • Anadolu Üniversitesi Adresli: Evet

Özet

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 .