2-microlocal spaces associated with Besov type and Triebel-Lizorkin type spaces

被引：2
|
作者：
Saka, Koichi [1 ]
机构：
[1] Akita Univ, Depatment Math, 1-1 Tegata Gakuenmachi, Akita 0108502, Japan
来源：
REVISTA MATEMATICA COMPLUTENSE | 2022年 / 35卷 / 03期
关键词：
Wavelet; Besov space; Triebel-Lizorkin space; Calderon-Zygmund operator; Pseudo-differential operator; phi transform; atomic and molecular decompostion; 2-microlocal space; MOLECULAR DECOMPOSITIONS;
D O I：
10.1007/s13163-021-00412-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we introduce and investigate new 2-microlocal spaces associated with Besov type and Triebel-Lizorkin type spaces. We establish characterizations of these function spaces via the phi-transform, the atomic and molecular decomposition and the wavelet decomposition. As applications we consider boundedness of the Calderon-Zygmund operator and the pseudo-differential operator on the function spaces.
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页码：923 / 962
页数：40
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