Besov regularity in non-linear generalized functions

被引：0

作者：

Pilipovic, Stevan ^{[1
]}

Scarpalezos, Dimitris ^{[2
]}

Vindas, Jasson ^{[3
]}

机构：

[1] Univ Novi Sad, Dept Math & Informat, Trg Dositeja Obradovica 4, Novi Sad 21000, Serbia

[2] Univ Paris 07, Ctr Math Jussieu, Case Postale 7012,2 Pl Jussieu, F-75251 Paris 05, France

[3] Univ Ghent, Dept Math Anal Log & Discrete Math, Krijgslaan 281, B-9000 Ghent, Belgium

来源：

MONATSHEFTE FUR MATHEMATIK | 2023年 / 201卷 / 02期

关键词：

Algebras of generalized functions; Besov spaces; Regularity of distributions; ALGEBRAS;

D O I：

10.1007/s00605-022-01783-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce and study new modules and spaces of generalized functions that are related to the classical Besov spaces. Various Schwartz distribution spaces are naturally embedded into our new generalized function spaces. We obtain precise criteria for detecting Besov regularity of distributions.

引用

页码：483 / 498

页数：16

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