Bergman-type and Qk-type spaces of p-harmonic functions

Abstract

In this paper, we extend a Hardy-Littlewood type theorem to the exponentially p-harmonic Bergman space on the real unit ball B in Rn. As an application, we characterize exponentially p-harmonic Bergman spaces in terms of Lipschitz type conditions. Furthermore, some derivative-free characterizations for n-harmonic Qk spaces are established.