Multilinear pseudo-differential operators on product of Local Hardy spaces with variable exponents

被引：1
|
作者：
Jian Tan
Jiman Zhao
机构：
[1] Nanjing University of Posts and Telecommunications,School of Science
[2] Ministry of Education,School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems
来源：
Journal of Pseudo-Differential Operators and Applications | 2019年 / 10卷
关键词：
Multilinear pseudo-differential operators; Local Hardy spaces; Variable exponents; Atomic decomposition; Littlewood–Paley–Stein theory; Primary 42B20; Secondary 42B30; 46E30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we establish a new atomic decomposition theory for Local Hardy spaces with variable exponents via local grand maximal characterization. By applying the refined atomic decomposition result, we prove that multilinear pseudo-differential operators are bounded on product of local Hardy spaces with variable exponents.
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页码：379 / 396
页数：17
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