Weighted Hardy Spaces of Quasiconformal Mappings
Abstract
We study the integral characterizations of weighted Hardy spaces of quasiconformal mappings on the n-dimensional unit ball using the weight (1−r)n−2+α. We extend the known results for univalent functions on the unit disk. Some of our results are new even in the unweighted setting for quasiconformal mappings.
Main Authors
Format
Articles
Research article
Published
2022
Series
Subjects
Publication in research information system
Publisher
Springer
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202302021579Use this for linking
Review status
Peer reviewed
ISSN
1050-6926
DOI
https://doi.org/10.1007/s12220-021-00755-5
Language
English
Published in
Journal of Geometric Analysis
Citation
- Benedict, S., Koskela, P., & Li, X. (2022). Weighted Hardy Spaces of Quasiconformal Mappings. Journal of Geometric Analysis, 32(3), Article 97. https://doi.org/10.1007/s12220-021-00755-5
License
Copyright© Mathematica Josephina, Inc. 2021