JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2025, Vol. 60 ›› Issue (12): 149-155.doi: 10.6040/j.issn.1671-9352.0.2024.191

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On the space of harmonic mapping H pH,1-α

HUANG Qiong, TANG Shu-an*   

  1. School of Mathematics Science, Guizhou Normal University, Guiyang 550001, Guizhou, China
  • Published:2025-12-10

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Abstract: In this paper, we introduce and investigate a class H pH,1-α of harmonic space on the unit disk D and characterize some fundamental properties of this space. Then, we extend the classical Hardy-Littlewood theorem to the case of harmonic mappings. We consider the little harmonic space H pH,1-α,0, and prove that it is a closed subspace of the space H pH,1-α and provide a criteiton for belonging to H pH,1-α,0.

Key words: harmonic H pH,1-α space, the little harmonic H pH,1-α,0 space, Hardy-Littlwood theorem

CLC Number: 

  • O174
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