Bulletin of the Korean Mathematical Society (대한수학회보)

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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)
  • Received : 2020.04.21
  • Accepted : 2020.08.21
  • Published : 2021.03.31
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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.

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References

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