On Characterizations of Weighted Harmonic Bloch Mappings and Its Carleson Measure Criteria

Aljuaid, Munirah; Bakhit, M. A.

doi:10.1155/2023/8500633

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2023

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“…In [1], we have examined numerous characterizations of the weighted Bloch spaces and closed separable subspaces of harmonic mappings. We then presented the relationships between the weighted harmonic Bloch space and its Carleson measure.…”

Section: Introductionmentioning

confidence: 99%

Composition Operators From Harmonic Lipschitz Space Into Weighted Harmonic Zygmund Space

Bakhit,

Dahshan,

Tahier

et al. 2023

Int. J. Anal. Appl.

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Section: Introductionmentioning

confidence: 99%

Composition Operators From Harmonic Lipschitz Space Into Weighted Harmonic Zygmund Space

Bakhit,

Dahshan,

Tahier

et al. 2023

Int. J. Anal. Appl.

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Composition operators from harmonic $ \mathcal{H}^{\infty} $ space into harmonic Zygmund space

Aljuaid

Bakhit

2023

MATH

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<abstract><p>This research paper sought to characterize the boundedness and compactness of composition operators from the space $ \mathcal{H}^{\infty} $ of bounded harmonic mappings on the open unit disk into harmonic Zygmund space $ \mathcal{Z}_H $, on the open unit disk. Furthermore, we obtain an estimate of the essential norms of such an operator. These results extends the similar results that were proven for composition operators on analytic function spaces.</p></abstract>

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On Characterizations of Weighted Harmonic Bloch Mappings and Its Carleson Measure Criteria

Abstract: For α > 0 , several characterizations of the α -Bloch spaces of harmonic mappings are given. We also obtain several similar characterizations for the closed separable subspace. As an application, we give relations between … Show more

Cited by 2 publications

References 14 publications

Composition Operators From Harmonic Lipschitz Space Into Weighted Harmonic Zygmund Space

Composition Operators From Harmonic Lipschitz Space Into Weighted Harmonic Zygmund Space

Composition operators from harmonic $ \mathcal{H}^{\infty} $ space into harmonic Zygmund space

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