Characterization of multiplier spaces by wavelets and logarithmic Morrey spaces

被引：9
|
作者：
Yang, Q. X. [2 ]
Zhu, Y. P. [1 ]
机构：
[1] Nantong Univ, Sch Sci, Nantong 226007, Jiangsu, Peoples R China
[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 13期
基金：
中国国家自然科学基金;
关键词：
Multipliers spaces; Logarithmic Morrey space; Sobolev spaces; Wavelet characterization; COMPACTNESS;
D O I：
10.1016/j.na.2012.04.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider multipliers from Sobolev spaces to Lebesgue spaces. We establish some wavelet characterization of multiplier spaces without using capacity. Further, we give a sharp logarithmic Morrey space condition for multipliers which lessens Fefferman's Morrey space condition to the logarithm level and generalizes Lemari,'s counter-example to non-integer cases and expresses his results in a more precise way. (C) 2012 Elsevier Ltd. All rights reserved.
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页码：4920 / 4935
页数：16
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