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Compact linear combination of composition operators on weighted Bergman-Orlicz spaces induced by doubling weights
Abstract
Let AΨω(𝔻) be the weighted Bergman-Orlicz spaces induced by doubling weights ω on the unit disk 𝔻. Suppose Orlicz function Ψ satisfies the Δ2-condition. In this paper, the compactness of finite linear combination of composition operators on AΨω(𝔻) are completely characterized in terms of Julia-Carathéodory type conditions and vanishing Carleson measure, respectively.
Related
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BibTeX
@misc{li2026compact,
title = {{Compact linear combination of composition operators on weighted Bergman-Orlicz spaces induced by doubling weights}},
author = {Yucheng Li and Zhiyu Wang and Liankuo Zhao},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.35415},
eprint = {2610.35415},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.35415},
}
RIS
TY - UNPB
TI - Compact linear combination of composition operators on weighted Bergman-Orlicz spaces induced by doubling weights
AU - Yucheng Li
AU - Zhiyu Wang
AU - Liankuo Zhao
PY - 2026
DA - 2026/10/26
PB - arXiv
DO - 10.48550/arxiv.2610.35415
UR - https://arxiv.org/abs/2610.35415
AB - Let A^Ψ_ω(𝔻) be the weighted Bergman-Orlicz spaces induced by doubling weights ω on the unit disk 𝔻. Suppose Orlicz function Ψ satisfies the Δ_2-condition. In this paper, the compactness of finite linear combination of composition operators on A^Ψ_ω(𝔻) are completely characterized in terms of Julia-Carathéodory type conditions and vanishing Carleson measure, respectively.
ER -