Pseudodifferential Operators on Besov Spaces of Variable Smoothness

被引：0
|
作者：
V. D. Kryakvin
V. S. Rabinovich
机构：
[1] Southern Federal University,ESIME Zacatenco
[2] Instituto Politecnico Nacional,undefined
来源：
Mathematical Notes | 2018年 / 104卷
关键词：
pseudodifferential operators; Besov spaces; variable smoothness; Fredholm theory; exponential estimates;
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学科分类号：
摘要：
We consider pseudodifferential operators of variable order acting on Besov spaces of variable smoothness. We prove the boundedness and compactness of such operators and study the Fredholm property of pseudodifferential operators of variable order with symbols slowly oscillating at infinity on weighted Besov spaces with variable smoothness.
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页码：545 / 558
页数：13
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