Convex harmonic mappings are not necessarily in h(1/2)
(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:
https://lup.lub.lu.se/record/5281555
- author
- Aleman, Alexandru LU and Martin, Maria J.
- organization
- publishing date
- 2015
- 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
- 2022-02-17 20:10:38
@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}}, }