Example of a nonrectifiable Nevanlinna contour

DOI10.1090/spmj/1409zbMath1345.30006OpenAlexW2511855198MaRDI QIDQ2811877

Maxim Ya Mazalov

Publication date: 8 June 2016

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1409

zbMATH Keywords

conformal mappingspolyanalytic functionsBlaschke conditionNevanlinna contoursNevanlinna domains

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20)

Related Items (7)

On \(L^1\)-estimates of derivatives of univalent rational functions ⋮ On Nevanlinna domains with fractal boundaries ⋮ Free boundary problems via Sakai’s theorem ⋮ Nevanlinna domains and uniform approximation by polyanalytic polynomial modules ⋮ Bianalytic functions of Hölder classes in Jordan domains with nonanalytic boundaries ⋮ Nevanlinna domains with large boundaries ⋮ Free boundary problems in the spirit of Sakai's theorem

Cites Work

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• An example of a nonconstant bianalytic function vanishing everywhere on a nowhere analytic boundary
• Uniform \(n\)-analytic polynomial approximations of functions on rectifiable contours in \(\mathbb{C}\)
• On some properties and examples of Nevanlinna domains
• Cyclic vectors and invariant subspaces of the backward shift operator
• Boundary regularity of Nevanlinna domains and univalent functions in model subspaces
• Conditions for $ C^m$-approximability of functions by solutions of elliptic equations

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