BERGMAN SPACES, BLOCH SPACES AND INTEGRAL MEANS OF p-HARMONIC FUNCTIONS

摘要

In this paper, we investigate the properties of Bergman spaces, Bloch spaces and integral means of p-harmonic functions on the unit ball in Rn.Firstly, we offer some Lipschitz-type and double integral characterizations for Bergman space Ak 纬 .Secondly, we characterize Bloch space B 伪 蠅 in terms of weighted Lipschitz conditions and BMO functions.Finally, a Hardy-Littlewood type theorem for integral means of p-harmonic functions is established.