Local growth envelopes of spaces of generalized smoothness: the subcritical case

被引：32

作者：

Caetano, AM ^{[1
]}

Moura, SD

机构：

[1] Univ Aveiro, Dept Matemat, P-3810193 Aveiro, Portugal

[2] Univ Coimbra, Dept Matemat, P-3001454 Coimbra, Portugal

来源：

MATHEMATISCHE NACHRICHTEN | 2004年 / 273卷

关键词：

function spaces of generalized smoothness; local growth envelopes; essential unboundedness;

D O I：

10.1002/mana.200310195

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The concept of local growth envelope (epsilon(LG)A,u) of the quasi-normed function space A is applied to the spaces of generalized smoothness B-pq((s,Psi))(R-n) and F-pq((s,Psi))(R-n) and it is shown that the influence of the function Psi, which is a fine tuning of the main smoothness parameter s, is strong enough in order to show up in the corresponding growth envelopes.

引用

页码：43 / 57

页数：15

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