Weighted Hardy Spaces of Quasiconformal Mappings
Sita Benedict, Pekka Koskela, Xining Li
TL;DR
This paper develops a weighted version of the Hardy space theory for quasiconformal mappings, extending classical results to include weights and broadening the understanding of these mappings in complex analysis.
Contribution
Introduces a weighted Hardy space framework for quasiconformal mappings, providing new theoretical tools and extending existing unweighted theories.
Findings
Established weighted $H^p$-theory for quasiconformal mappings
Extended classical Hardy space results to weighted settings
Provided foundational results for future research in weighted quasiconformal analysis
Abstract
We establish a weighted version of the -theory of quasiconformal mappings.
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Taxonomy
TopicsAnalytic and geometric function theory · Holomorphic and Operator Theory · Meromorphic and Entire Functions