Oscillation of holomorphic Bergman-Besov kernels on the ball

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 .