PreprintCC BY 4.0arXiv
Norm of the generalized Hilbert operator on weighted Bergman spaces
Abstract
Several upper bounds as well as one lower bound for the operator norm of the generalized Hilbert operator ℋb acting on weighted Bergman spaces Aαp are established. Moreover, under some mild assumptions, we obtain the exact norm of ℋb on $ A_α^p$.
Related
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BibTeX
@misc{li2026norm,
title = {{Norm of the generalized Hilbert operator on weighted Bergman spaces}},
author = {Dongxing Li and Songxiao Li and Weiye Pan and Hasi Wulan and Mengmeng Zhou},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.04833},
eprint = {2609.04833},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.04833},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Norm of the generalized Hilbert operator on weighted Bergman spaces
AU - Dongxing Li
AU - Songxiao Li
AU - Weiye Pan
AU - Hasi Wulan
AU - Mengmeng Zhou
PY - 2026
DA - 2026/09/04
PB - arXiv
DO - 10.48550/arxiv.2609.04833
UR - https://arxiv.org/abs/2609.04833
AB - Several upper bounds as well as one lower bound for the operator norm of the generalized Hilbert operator ℋ_b acting on weighted Bergman spaces A_α^p are established. Moreover, under some mild assumptions, we obtain the exact norm of ℋ_b on $ A_α^p$.
ER -