Oscillation of holomorphic Bergman-Besov kernels on the ball
MONATSHEFTE FUR MATHEMATIK, cilt.184, sa.2, ss.297-323, 2017 (SCI-Expanded, Scopus)
- 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 .