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.
引用
收藏
页码：4374 / 4385
页数：12
相关论文
共 50 条
  • [21] A T(1) Theorem for Fractional Sobolev Spaces on Domains
    Prats, Marti
    Saksman, Eero
    JOURNAL OF GEOMETRIC ANALYSIS, 2017, 27 (03) : 2490 - 2538
  • [22] A T(1) Theorem for Fractional Sobolev Spaces on Domains
    Martí Prats
    Eero Saksman
    The Journal of Geometric Analysis, 2017, 27 : 2490 - 2538
  • [23] On density of smooth functions in weighted fractional Sobolev spaces
    Dyda, Bartlomiej
    Kijaczko, Michal
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2021, 205
  • [24] REAL INTERPOLATION OF SOBOLEV SPACES ON SUB-DOMAINS OF RN
    ADAMS, RA
    FOURNIER, JJF
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1978, 30 (01): : 190 - 214
  • [25] FOURIER APPROXIMATION AND TYPE OF EMBEDDINGS OF SOBOLEV SPACES ON BOUNDED DOMAINS
    EDMUNDS, DE
    MOSCATELLI, VB
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1975, 280 (13): : 889 - 892
  • [26] Piecewise polynomial interpolation in Muckenhoupt weighted Sobolev spaces and applications
    Ricardo H. Nochetto
    Enrique Otárola
    Abner J. Salgado
    Numerische Mathematik, 2016, 132 : 85 - 130
  • [27] Piecewise polynomial interpolation in Muckenhoupt weighted Sobolev spaces and applications
    Nochetto, Ricardo H.
    Otarola, Enrique
    Salgado, Abner J.
    NUMERISCHE MATHEMATIK, 2016, 132 (01) : 85 - 130
  • [28] A simple characterization of weighted Sobolev spaces with bounded multiplication operator
    Rodriguez, Jose M.
    JOURNAL OF APPROXIMATION THEORY, 2008, 153 (01) : 53 - 72
  • [29] Weighted Sobolev spaces
    Zhikov, VV
    SBORNIK MATHEMATICS, 1998, 189 (7-8) : 1139 - 1170
  • [30] On weighted Sobolev spaces
    Chua, SK
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1996, 48 (03): : 527 - 541
12345