Weighted fractional Sobolev spaces as interpolation spaces in bounded domains

被引：2

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.

引用

页码：4374 / 4385

页数：12

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