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Research Article | Open Access

Embedding reverse Carleson measure for derivatives on Fock space

Zhengyuan Zhuo1( ), Feifei Zhao2
School of Mathematics and Systems Science, Guangdong Polytechnic Normal University, Guangzhou, 510665, Guangdong, China
School of Liberal Arts and Sciences, North China Institute of Aerospace Engineering, Langfang, 065000, Hebei, China
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Abstract

The paper establishes a full characterisation of the embedding of Carleson measures and reverse Carleson measures for derivatives on Fock space. The intrinsic relationship between ( s , r )-averaging transform and embedding derivatives Carleson measures on Fock spaces is revealed. This improves existing results.

Keywords

reverse derivatives Carleson measureFock spaces
CLC number: Primary 47B37, 30H20

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AIMS Mathematics
Volume 11 Issue 5,
May 2026
Pages 14763-14770
DOI: 10.3934/math.2026607

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Cite this article:
Zhuo Z, Zhao F. Embedding reverse Carleson measure for derivatives on Fock space. AIMS Mathematics, 2026, 11(5): 14763-14770. https://doi.org/10.3934/math.2026607

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Received: 21 December 2025
Revised: 22 April 2026
Accepted: 21 May 2026
Published: 15 May 2026
©2026 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)