A note on truncations in fractional Sobolev spaces

被引：15
|
作者：
Musina, Roberta [1 ]
Nazarov, Alexander, I [2 ,3 ]
机构：
[1] Univ Udine, Dipartimento Sci Matemat Informat & Fis, Via Sci 206, I-33100 Udine, Italy
[2] Steklov Inst, St Petersburg Dept, Fontanka 27, St Petersburg 191023, Russia
[3] St Petersburg State Univ, Univ Skii Pr 28, St Petersburg 198504, Russia
来源：
BULLETIN OF MATHEMATICAL SCIENCES | 2019年 / 9卷 / 01期
关键词：
Fractional Laplacian; Sobolev spaces; truncation operators;
D O I：
10.1142/S1664360719500012
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the Nemytskii operators u bar right arrow vertical bar u vertical bar and u bar right arrow u(+/-) in fractional Sobolev spaces H-s(R-n), s > 1.
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页数：7
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