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

Aleman, Alexandru LU and Martin, Maria J. (2015) In Proceedings of the American Mathematical Society 143(2). p.755-763
Abstract
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.
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Convex harmonic mappings, Hardy spaces
in
Proceedings of the American Mathematical Society
volume
143
issue
2
pages
755 - 763
publisher
American Mathematical Society (AMS)
external identifiers
  • wos:000351560100027
  • scopus:84919371955
ISSN
1088-6826
language
English
LU publication?
yes
id
1a2dae2d-f521-4814-9a0a-e10c8414af84 (old id 5281555)
date added to LUP
2016-04-01 10:40:13
date last changed
2025-10-14 10:25:13
@article{1a2dae2d-f521-4814-9a0a-e10c8414af84,
  abstract     = {{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.}},
  author       = {{Aleman, Alexandru and Martin, Maria J.}},
  issn         = {{1088-6826}},
  keywords     = {{Convex harmonic mappings; Hardy spaces}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{755--763}},
  publisher    = {{American Mathematical Society (AMS)}},
  series       = {{Proceedings of the American Mathematical Society}},
  title        = {{Convex harmonic mappings are not necessarily in h(1/2)}},
  volume       = {{143}},
  year         = {{2015}},
}