An atomic representation for Hardy classes of solutions to nonhomogeneous Cauchy-Riemann equations

DOI10.1007/s12220-023-01374-yzbMath1521.30060arXiv2307.00140OpenAlexW4384301182MaRDI QIDQ6166644

William L. Blair

Publication date: 3 August 2023

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.00140

zbMATH Keywords

atomic decompositionHardy spacesCauchy-Riemann equationsboundary values in the sense of distributions

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Hardy spaces (30H10)

Related Items (1)

The Schwarz boundary value problem for boundary values in the sense of distributions

Cites Work

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• Riemann-Hilbert problems for Hardy space of meta-analytic functions on the unit disc
• The Schwarz problem for polyanalytic functions
• Decompositions of functions and Dirichlet problems in the unit disc
• Extensions of Hardy spaces and their use in analysis
• A real variable characterization of $H^{p}$
• On Hilbert-type boundary-value problem of poly-Hardy class on the unit disc

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