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

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

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 A_γ^k. Secondly, we characterize Bloch space B_ω^α in terms of...

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Veröffentlicht in:Taehan Suhakhoe hoebo 2021, 58(2), , pp.481-495
Hauptverfasser: Xi Fu, Jinjing Qiao
Format: Artikel
Sprache:eng
Schlagworte:
수학
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Zusammenfassung: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 A_γ^k. Secondly, we characterize Bloch space B_ω^α in terms of weighted Lipschitz conditions and BMO functions. Finally, a Hardy-Littlewood type theorem for integral means of $p$-harmonic functions is established. KCI Citation Count: 3
ISSN:1015-8634
2234-3016
DOI:10.4134/BKMS.b200367