BMO Functions Generated by A(X)(R-n) Weights on Ball Banach Function Spaces

doi:10.1155/2021/6626787

LZUFE-KMS

	BMO Functions Generated by A(X)(R-n) Weights on Ball Banach Function Spaces
	Wu, Ruimin 1; Wang, Songbai 2
	2021-01-08
发表期刊	JOURNAL OF FUNCTION SPACES
卷号	2021
摘要	Let X be a ball Banach function space on R-n. We introduce the class of weights A(X)(R-n). Assuming that the Hardy-Littlewood maximal function M is bounded on X and X', we obtain that BMO(R-n) = {alpha ln omega : alpha >= 0, omega is an element of A(X)(R-n)}. As a consequence, we have BMO(R-n) = {alpha ln omega : a >= 0, omega is an element of A(Lp(.)(Rn))}, where L-p(.)(R-n) is the variable exponent Lebesgue space. As an application, if a linear operator T is bounded on the weighted ball Banach function space X(omega) for any omega is an element of A(X)(R-n), then the commutator [b, T] is bounded on X with b is an element of BMO(R-n).
DOI	10.1155/2021/6626787
收录类别	SCOPUS ; SCIE
ISSN	2314-8896
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000611567500002
出版者	HINDAWI LTD
原始文献类型	Article
EISSN	2314-8888
引用统计	被引频次[WOS]：0 [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.lzufe.edu.cn/handle/39EH0E1M/21304
专题	兰州财经大学
通讯作者	Wu, Ruimin
作者单位	1.Lanzhou Univ Finance & Econ, Longqiao Coll, Lanzhou 730101, Peoples R China; 2.Chongqing Three Gorges Univ, Coll Math & Stat, Chongqing 404130, Peoples R China
第一作者单位	兰州财经大学
通讯作者单位	兰州财经大学
推荐引用方式 GB/T 7714	Wu, Ruimin,Wang, Songbai. BMO Functions Generated by A(X)(R-n) Weights on Ball Banach Function Spaces[J]. JOURNAL OF FUNCTION SPACES,2021,2021.
APA	Wu, Ruimin,&Wang, Songbai.(2021).BMO Functions Generated by A(X)(R-n) Weights on Ball Banach Function Spaces.JOURNAL OF FUNCTION SPACES,2021.
MLA	Wu, Ruimin,et al."BMO Functions Generated by A(X)(R-n) Weights on Ball Banach Function Spaces".JOURNAL OF FUNCTION SPACES 2021(2021).