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Inequalities between eigenvalues, entropy numbers, and related quantities of compact operators in Banach spaces

✍ Scribed by Bernd Carl; Hans Triebel

Publisher: Springer
Year: 1980
Tongue: English
Weight: 222 KB
Volume: 251
Category: Article
ISSN: 0025-5831
DOI: 10.1007/bf01536180

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## Abstract In this paper we study weighted function spaces of type __B__(ℝ^__n__^, __Q__(__x__)) and __F__(ℝ^__n__^, __Q__(__x__)), where __Q(x)__ is a weight function of at most polynomial growth. Of special interest are the weight functions __Q(x)__ = (1 + |x|^2^)^α/2^ with α ϵ ℝ. The main resul