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ENTROPY NUMBERS OF TRUDINGER–STRICHARTZ EMBEDDINGS OF RADIAL BESOV SPACES AND APPLICATIONS

Published online by Cambridge University Press:  29 March 2004

LESZEK SKRZYPCZAK
LESZEK SKRZYPCZAK
Affiliation:
Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznań, Polandlskrzyp@amu.edu.pl
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Abstract

The asymptotic behaviour of entropy numbers of Trudinger–Strichartz embeddings of radial Besov spaces on ${\mathbb R}^n$ into exponential Orlicz spaces is calculated. Estimates of the entropy numbers as well as estimates of entropy numbers of Sobolev embeddings of radial Besov spaces are applied to spectral theory of certain pseudo-differential operators.

Keywords

46E35 (primary)47B0641A46 (secondary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 69 , Issue 2 , April 2004 , pp. 465 - 488
Copyright
The London Mathematical Society 2004

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