Local growth envelopes of spaces of generalized smoothness: the subcriticalcase | Zendy

Caetano António M. | Zendy; Moura Susana D. | Zendy

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Local growth envelopes of spaces of generalized smoothness: the subcriticalcase

Author(s) -

Caetano António M.,

Moura Susana D.

Publication year - 2004

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.200310195

Subject(s) - smoothness , mathematics , envelope (radar) , function (biology) , space (punctuation) , pure mathematics , function space , order (exchange) , mathematical analysis , telecommunications , computer science , radar , finance , evolutionary biology , economics , biology , operating system

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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