Convex harmonic mappings are not necessarily in $h^{1/2}$

DOI10.1090/S0002-9939-2014-12281-7zbMath1316.31001OpenAlexW1980325099MaRDI QIDQ5496316

María J. Martín, Alexandru Aleman

Publication date: 30 January 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2014-12281-7

zbMATH Keywords

Hardy spacesconvex harmonic mappings

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05)

Related Items (4)

Growth of harmonic mappings and Baernstein type inequalities ⋮ Uniformly locally univalent harmonic mappings associated with the pre-Schwarzian norm ⋮ ON CONVOLUTIONS OF HARMONIC UNIVALENT MAPPINGS CONVEX IN THE DIRECTION OF THE REAL AXIS ⋮ On the analytic part of univalent harmonic mappings

Cites Work

• Linear topological properties of the harmonic Hardy spaces \(h^ p\) for \(0<p<1\)
• Estimates of integral means of harmonic mappings
• Harmonic Mappings onto Convex Domains
• Harmonic univalent functions
• Integral smoothness properties of some harmonic mappings
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