The closure of derivative average radial integrable spaces in the Bloch space

A description of the closure in the Bloch space of the Bloch functions that are in the derivative average radial integrable space is given. As a byproduct, we get some new characterizations for the Bloch space $\mathcal{B}$ , the little Bloch space $\mathcal{B}_{0}$ , and the closure of the space $H^{2}\cap \mathcal{B}$ in the Bloch norm.

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Publication Details

Journal
Journal of Inequalities and Applications
Published
2024-11-04
DOI
https://doi.org/10.1186/s13660-024-03220-3
Citations
1
Primary Topic
Holomorphic and Operator Theory
Type
article
Field-Weighted Citation Impact
0.97

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article

The closure of derivative average radial integrable spaces in the Bloch space

Xiangling Zhu, Rong Yang
1 citations
Journal of Inequalities and Applications
Holomorphic and Operator Theory
0.97
article

The closure of derivative average radial integrable spaces in the Bloch space

Xiangling Zhu, Rong Yang
article en
1 citations

Abstract

A description of the closure in the Bloch space of the Bloch functions that are in the derivative average radial integrable space is given. As a byproduct, we get some new characterizations for the Bloch space $\mathcal{B}$ , the little Bloch space $\mathcal{B}_{0}$ , and the closure of the space $H^{2}\cap \mathcal{B}$ in the Bloch norm.

Journal of Inequalities and ApplicationsVol. 2024(1)
University of Electronic Science and Technology of China (CN)
Basic and Applied Basic Research Foundation of Guangdong Province
Openalex Percentile: Top 24%
Holomorphic and Operator Theory
0.97
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