Meta-analytic functions with derivative not in a Hardy space

We show there exist solutions to higher-order Vekua equations that, along with their z ̄ -derivatives, have finite Hardy space norm, but their z -derivatives do not.

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Publication Details

Journal
Examples and Counterexamples
Published
2025-05-14
DOI
https://doi.org/10.1016/j.exco.2025.100187
Primary Topic
Algebraic and Geometric Analysis
Type
article
Field-Weighted Citation Impact
0.00
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article

Meta-analytic functions with derivative not in a Hardy space

William L. Blair
Examples and Counterexamples
Algebraic and Geometric Analysis
article

Meta-analytic functions with derivative not in a Hardy space

William L. Blair
article en

Abstract

We show there exist solutions to higher-order Vekua equations that, along with their z ̄ -derivatives, have finite Hardy space norm, but their z -derivatives do not.

Examples and CounterexamplesVol. 7
The University of Texas at Tyler (US)
Openalex Percentile: Top 85%
Algebraic and Geometric Analysis
DOIOpen Access PDFOpenAlex
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Meta-analytic functions with derivative not in a Hardy space — William L. Blair · Examples and Counterexamples (2025) | TGRS Research Map | TGRS