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Convex harmonic mappings are not necessarily in h(1/2)

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Author

Summary, in English

We construct convex harmonic mappings in the unit disk that do not belong to the harmonic Hardy space h(1/2). This provides a negative answer to a question raised by P. Duren.

Publishing year

2015

Language

English

Pages

755-763

Publication/Series

Proceedings of the American Mathematical Society

Volume

143

Issue

2

Document type

Journal article

Publisher

American Mathematical Society (AMS)

Topic

  • Mathematics

Keywords

  • Convex harmonic mappings
  • Hardy spaces

Status

Published

ISBN/ISSN/Other

  • ISSN: 1088-6826