A result about the atomic decomposition of Bloch-type space in the polydisk

Zhi-jie Jiang; Zhi-jie Jiang

doi:10.3934/math.2023549

AIMS Mathematics

2023, Volume 8, Issue 5: 10822-10834. doi: 10.3934/math.2023549

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Research article

A result about the atomic decomposition of Bloch-type space in the polydisk

Zhi-jie Jiang ^,

School of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong, Sichuan, 643000, China

Received: 17 October 2022 Revised: 23 February 2023 Accepted: 23 February 2023 Published: 06 March 2023
MSC : 47B38, 47B33, 47B37, 30H05

The aim of the paper is to obtain a interesting result about the atomic decomposition of Bloch-type space in the polydisk. The existing similar results have been applied many times to the atomic decompositions of Bloch-type and weighted Bergman spaces in the unit ball.
- normal function,
- Bloch-type space,
- weighted-type space,
- atomic decomposition,
- unit polydisk
Citation: Zhi-jie Jiang. A result about the atomic decomposition of Bloch-type space in the polydisk[J]. AIMS Mathematics, 2023, 8(5): 10822-10834. doi: 10.3934/math.2023549

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Abstract

The aim of the paper is to obtain a interesting result about the atomic decomposition of Bloch-type space in the polydisk. The existing similar results have been applied many times to the atomic decompositions of Bloch-type and weighted Bergman spaces in the unit ball.

References

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