Real Interpolation of Generalized Besov-Hardy Spaces and Applications

被引：7
|
作者：
Almeida, Alexandre [1 ]
Caetano, Antonio [1 ]
机构：
[1] Univ Aveiro, Dept Matemat, P-3810193 Aveiro, Portugal
来源：
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2011年 / 17卷 / 04期
关键词：
Generalized Hardy spaces; Maximal functions; Interpolation; Besov spaces; Pseudodifferential operators; Wavelet decompositions; WEIGHTED FUNCTION-SPACES; PSEUDODIFFERENTIAL-OPERATORS; FUNCTION PARAMETER; WAVELET BASES; ENTROPY NUMBERS; LORENTZ SPACES; HP SPACES; SOBOLEV;
D O I：
10.1007/s00041-010-9145-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider generalized Hardy spaces which include classical Hardy spaces and Hardy-Lorentz spaces as special cases. We give real interpolation results for such spaces. As applications, we solve an interpolation problem for Besov spaces of generalized smoothness and prove the boundedness of pseudodifferential operators acting both in these spaces and in the local Hardy spaces. For the latter spaces, we also obtain wavelet decompositions.
引用
收藏
页码：691 / 719
页数：29
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