On New Decomposition Theorems for Mixed-Norm Besov Spaces with Ingredient Modulus of Smoothness

被引：1
作者：
Zhao, Junjian [1 ]
Kostic, Marko [2 ]
Du, Wei-Shih [3 ]
机构：
[1] Tiangong Univ, Sch Math Sci, Tianjin 300387, Peoples R China
[2] Univ Novi Sad, Fac Tech Sci, Trg D Obradovica 6, Novi Sad 21125, Serbia
[3] Natl Kaohsiung Normal Univ, Dept Math, Kaohsiung 82444, Taiwan
来源：
SYMMETRY-BASEL | 2023年 / 15卷 / 03期
关键词：
mixed-norm Lebesgue space; Sobolev space; Besov space; Littlewood-Paley decomposition; ingredient modulus of smoothness in component form; mixed-norm Besov space; LIZORKIN-TRIEBEL SPACES; OPERATORS; LP;
D O I：
10.3390/sym15030642
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we introduce and study the concept of the ingredient modulus of smoothness in component form in L-p?(R-d) and a kind of mixed-norm Sobolev space. We obtain some new properties, inequalities, and auxiliary results in mixed-norm spaces L-p?(Rd). In addition, a new concept of mixed-norm Besov space is presented and a new decomposition theorem for mixed-norm Besov spaces is established.
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页数：17
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