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Local growth envelopes of spaces of generalized smoothness: the subcriticalcase

✍ Scribed by António M. Caetano; Susana D. Moura

Publisher: John Wiley and Sons
Year: 2004
Tongue: English
Weight: 206 KB
Volume: 273
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200310195

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✦ Synopsis

Abstract

The concept of local growth envelope (ℰ~LG~A, u) of the quasi‐normed function space A is applied to the spaces of generalized smoothness B^(s,ψ)^ ~pq~ (ℝ^n^) and F^(s,ψ)^~pq~ (ℝ^n^) and it is shown that the influence of the function ψ, which is a fine tuning of the main smoothness parameter s, is strong enough in order to show up in the corresponding growth envelopes. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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