Oscillation of holomorphic Bergman-Besov kernels on the ball
MONATSHEFTE FUR MATHEMATIK, vol.184, no.2, pp.297-323, 2017 (SCI-Expanded, Scopus)
- 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 .