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On the smoothness and convexity of Besov spaces
-
Kamil S. Kazimierski
Published/Copyright:
June 5, 2013
Abstract.
In this paper we deal with Besov spaces 
. We show that generalized
forms of the polarization identity hold for the wavelet-characterization
of the Besov space norm. In particular we show that these spaces are
smooth of power type and convex of power type for 
.
Keywords: Geometry of Banach spaces; Besov spaces; sequence Besov spaces; smoothness
of power type; convexity of power type
Received: 2012-10-01
Published Online: 2013-06-05
Published in Print: 2013-06-01
© 2013 by Walter de Gruyter Berlin Boston
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Keywords for this article
Geometry of Banach spaces;
Besov spaces;
sequence Besov spaces;
smoothness
of power type;
convexity of power type
Articles in the same Issue
- Masthead
- “Recent Progress in Regularization Theory” Minisymposium M5 of the 6-th International Conference “Inverse Problems: Modeling and Simulation”
- TGV for diffusion tensors: A comparison of fidelity functions
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