A Note on Campanato Spaces and Their Applications

被引：9
|
作者：
Wang, D. H. [1 ]
Zhou, J. [1 ]
Teng, Z. D. [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi, Peoples R China
来源：
MATHEMATICAL NOTES | 2018年 / 103卷 / 3-4期
基金：
中国国家自然科学基金;
关键词：
bilinear fractional integral operator; Campanato spaces; characterization; commutators; John-Nirenberg inequality;
D O I：
10.1134/S0001434618030148
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we obtain a version of the John-Nirenberg inequality suitable for Campanato spaces C (p,beta) with 0 < p < 1 and show that the spaces C (p,beta) are independent of the scale p a (0,a) in sense of norm when 0 < beta < 1. As an application, we characterize these spaces by the boundedness of the commutators [b,B (alpha) ] (j) (j = 1, 2) generated by bilinear fractional integral operators B (alpha) and the symbol b acting from L (p1) x L (p2) to L (q) for p1, p2 a (1,a), q a (0,a) and 1/q = 1/p1 + 1/p2 - (alpha + beta)/n.
引用
收藏
页码：483 / 489
页数：7
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