The Lp-Boundedness of Some Classes of Pseudo-Differential Operators on the m-Dimensional Torus

被引：0
|
作者：
Bazarkhanov, D. B. [1 ]
机构：
[1] Inst Math & Math Modeling, Alma Ata 050010, Kazakhstan
来源：
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2022年 / 319卷 / SUPPL 1期
关键词：
pseudo-differential operator; symbol; bounded operator; -dimensional torus; CONTINUITY; BOUNDS;
D O I：
10.1134/S0081543822060086
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that certain classes of pseudo-differential operators with symbols that are nonsmooth in the space variable are L-p-bounded on the m-dimensional torus for 1 <= p <= infinity.
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页码：S80 / S97
页数：18
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