Equivalent quasinorms for the anisotropic Nikol'skii-Besov spaces on a cone of functions with a regular Fourier transform

Burenkov, Victor and Almeida, G. E. G. 2003. Equivalent quasinorms for the anisotropic Nikol'skii-Besov spaces on a cone of functions with a regular Fourier transform. Mathematical Inequalities and Applications 6 (3) , pp. 497-508. dx.doi.org/10.7153/mia-06-46

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Abstract

We prove the equivalence of the quasinorms of the anisotropic Nikol'skii-Besov spaces to simpler quasinorms on a cone of functions with positive Fourier transforms satisfying some regularity conditions.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Uncontrolled Keywords:	anisotropic function spaces; fractional smoothness; Nikol'skii-Besov
Publisher:	Element
ISSN:	1331-4343
Last Modified:	04 Jun 2017 08:47
URI:	https://orca.cardiff.ac.uk/id/eprint/84919

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