Non-rectifiable Riemann boundary value problem for bi-analytic functions

DOI10.1080/17476933.2020.1751134zbMath1468.30076OpenAlexW3017282913MaRDI QIDQ4993746

David B. Katz, Boris A. Kats

Publication date: 16 June 2021

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2020.1751134

zbMATH Keywords

Riemann boundary value problemnon-rectifiable curvebi-analytic functions

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

Related Items (3)

A Cauchy transform for polymonogenic functions on fractal domains ⋮ Riemann problem for bianalytic functions on h-summable curves ⋮ On the Riemann problem in fractal elastic media

Cites Work

• Local and weighted Marcinkiewicz exponents with applications
• A note on a class of \(p\)-valent starlike functions of order \(\beta\)
• The linear conjugation problem for bi-analytic functions
• Marcinkiewicz exponents and integrals over non-rectifiable paths
• Interactions of germs with applications
• The Riemann boundary value problem on non-rectifiable curves and related questions
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