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http://dx.doi.org/10.4134/BKMS.b200367

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

Fu, Xi (Department of Mathematics College of Arts and Sciences Shanghai Polytechnic University)
Qiao, Jinjing (College of Mathematics and Information Science Hebei University)
Publication Information
Bulletin of the Korean Mathematical Society / v.58, no.2, 2021 , pp. 481-495 More about this Journal
Abstract
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 ��kγ. Secondly, we characterize Bloch space ��αω in terms of weighted Lipschitz conditions and BMO functions. Finally, a Hardy-Littlewood type theorem for integral means of p-harmonic functions is established.
Keywords
p-harmonic function; Bergman space; Bloch space; integral mean;
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