Journal
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS
Volume 12, Issue 4, Pages 427-445Publisher
BIRKHAUSER BOSTON INC
DOI: 10.1007/s00041-006-6018-9
Keywords
Triebel-Lizorkin spaces; Besov spaces; generalized smoothness; standardization; growth envelopes; sharp inequalities; limiting embeddings
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The concept of local growth envelope (E(LG)A, u) of the quasi-normed function space A is applied to the Triebel-Lizorkin spaces of generalized smoothness F-p,q(sigma N) (R-n). In order to achieve this, a standardization result for these and corresponding Besov spaces is derived.
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