Isomorphisms on Weighed Banach Spaces of Harmonic and Holomorphic Functions
Joint Authors
Jordá, Enrique
Zarco, Ana María
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-09
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
For an arbitrary open subset U⊂ℝd or U⊆ℂd and a continuous function v:U→]0,∞[ we show that the space hv0(U) of weighed harmonic functions is almost isometric to a (closed) subspace of c0, thus extending a theorem due to Bonet and Wolf for spaces of holomorphic functions Hv0(U) on open sets U⊂ℂd.
Inspired by recent work of Boyd and Rueda, we characterize in terms of the extremal points of the dual of hv0(U) when hv0(U) is isometric to a subspace of c0.
Some geometric conditions on an open set U⊆ℂd and convexity conditions on a weight v on U are given to ensure that neither Hv0(U) nor hv0(U) are rotund.
American Psychological Association (APA)
Jordá, Enrique& Zarco, Ana María. 2013. Isomorphisms on Weighed Banach Spaces of Harmonic and Holomorphic Functions. Journal of Function Spaces،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-1006014
Modern Language Association (MLA)
Jordá, Enrique& Zarco, Ana María. Isomorphisms on Weighed Banach Spaces of Harmonic and Holomorphic Functions. Journal of Function Spaces No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-1006014
American Medical Association (AMA)
Jordá, Enrique& Zarco, Ana María. Isomorphisms on Weighed Banach Spaces of Harmonic and Holomorphic Functions. Journal of Function Spaces. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-1006014
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1006014