Weighted fractional Sobolev spaces as interpolation spaces in bounded domains

被引：1
|
作者：
Acosta, Gabriel [1 ,2 ]
Drelichman, Irene [1 ,3 ]
Duran, Ricardo G. G. [1 ,2 ]
机构：
[1] Univ Buenos Aires, Fac Ciencias Exactas & Nat, IMAS UBA CONICET, Ciudad Univ, Buenos Aires, Argentina
[2] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, Ciudad Univ, Buenos Aires, Argentina
[3] Univ Buenos Aires, Fac Ciencias Exactas & Nat, IMAS UBA CONICET, Ciudad Univ, RA-1428 Buenos Aires, Argentina
来源：
MATHEMATISCHE NACHRICHTEN | 2023年 / 296卷 / 09期
关键词：
fractional Sobolev spaces; Gagliardo seminorm; irregular domains; interpolation spaces; POINCARE INEQUALITIES;
D O I：
10.1002/mana.202200182
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We characterize the real interpolation space between a weighted Lp$L<^>p$ space and a weighted Sobolev space in arbitrary bounded domains in Rn$\mathbb {R}<^>n$, with weights that are positive powers of the distance to the boundary.
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页码：4374 / 4385
页数：12
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