Q-Type Spaces of Harmonic Mappings

In this paper, we attempt to investigate a new harmonic mapping class denoted by the Banach space QHp in the unit disk. Several characteristics of the class Qp are examined. We additionally describe some findings for the little QHp harmonic space, which really is a closed subspace of QHp. We also ta...

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Bibliographic Details
Published in:Journal of mathematics (Hidawi) 2022, Vol.2022 (1)
Main Author: Kamal, Alaa
Format: Article
Language:English
Subjects:
Banach spaces
Inequality
Mathematics
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Summary:In this paper, we attempt to investigate a new harmonic mapping class denoted by the Banach space QHp in the unit disk. Several characteristics of the class Qp are examined. We additionally describe some findings for the little QHp harmonic space, which really is a closed subspace of QHp. We also talk about the boundedness and compactness of the composition operator in the QHp space.
ISSN:2314-4629
2314-4785
DOI:10.1155/2022/1342051