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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
Affiliation:
Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznań, [email protected]
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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.

Type
Notes and Papers
Copyright
The London Mathematical Society 2004

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