PreprintCC BY 4.0arXiv
Compact and Hilbert-Schmidt composition operators on weighted Hardy spaces
Abstract
Lefèvre, Li, Queffélec, and Rodríguez-Piazza [12] recently characterized the sequences β for which the weighted Hardy space H2(β) has the same bounded composition operators as the Hardy space H2. We investigate the analogous questions for the compactness and the p-Schatten classes: for which sequences β does the space H2(β) have the same compact or p-Schatten class composition operators as H2?
Related
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BibTeX
@misc{cruzzamorano2026compact,
title = {{Compact and Hilbert-Schmidt composition operators on weighted Hardy spaces}},
author = {Francisco J. Cruz-Zamorano and Eugenio Dellepiane and Daniel Seco},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.40148},
eprint = {2610.40148},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.40148},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Compact and Hilbert-Schmidt composition operators on weighted Hardy spaces
AU - Francisco J. Cruz-Zamorano
AU - Eugenio Dellepiane
AU - Daniel Seco
PY - 2026
DA - 2026/10/29
PB - arXiv
DO - 10.48550/arxiv.2610.40148
UR - https://arxiv.org/abs/2610.40148
AB - Lefèvre, Li, Queffélec, and Rodríguez-Piazza [12] recently characterized the sequences β for which the weighted Hardy space H^2(β) has the same bounded composition operators as the Hardy space H^2. We investigate the analogous questions for the compactness and the p-Schatten classes: for which sequences β does the space H^2(β) have the same compact or p-Schatten class composition operators as H^2?
ER -