Growth envelopes of Besov spaces on fractal h-sets

被引：3

作者：

Caetano, Antonio M. ^{[1
]}

机构：

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

来源：

MATHEMATISCHE NACHRICHTEN | 2013年 / 286卷 / 5-6期

关键词：

Growth; envelopes; Besov spaces; h-sets; d-sets; fractals; traces; embeddings msc (2010) 46E35; 28A80; GENERALIZED SMOOTHNESS;

D O I：

10.1002/mana.201100176

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Under appropriate conditions, we determine the growth envelopes of Besov spaces on so-called h-sets. In the way we clarify what should in general be meant by such Besov spaces and establish some elementary embeddings. Actually, we are even able to give an optimal necessary condition for one of such embeddings as a by-product of the proof of the growth envelope result.

引用

页码：550 / 568

页数：19

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