Boundedness estimate for certain Calder on-Zygmund typesingular integrals onBMOspaces

doi:10.1007/s00013-025-02119-9

	Boundedness estimate for certain Calder on-Zygmund typesingular integrals onBMOspaces
	Xin, Yinping1,2 ; Yang, Sibei 1
	2025-04-29
在线发表日期	2025-04
发表期刊	ARCHIV DER MATHEMATIK
摘要	Let beta is an element of (0, n). In this paper, we study the boundedness of the Calderon-Zygmund type singular integral T(f)(x) := p.v.integral(Rn)Omega(y)/\|y\|(n-beta)f(x-y)dy on the space BMO(R-n). Precisely, let q is an element of(1, infinity) and beta is an element of (0,(q-1)(n)/q). We prove that, for any f is an element of BMO(R-n)boolean AND L-q '(R-n), T f is an element of BMO(R-n) and & Vert;Tf & Vert;(BMO(Rn) )<= C[& Vert;f & Vert;(BMO(Rn))+beta(q-1)n/q/q root n(q-1)-beta q & Vert;f & Vert;(Lq '(Rn))], where q 'is an element of (1,infinity) is given by 1/q+1/q ' = 1 and C is a positive constant in-dependent of beta and f. This estimate can be seen as a further development for the corresponding results in the scale of Lebesgue spaces, established by Chen and Guo (J Funct Anal 281:Paper No. 109196, 2021), in the endpoint case.
关键词	Calderon-Zygmund type singular integral BMO space Fractional integral operator Dini condition
DOI	10.1007/s00013-025-02119-9
收录类别	SCIE
ISSN	0003-889X
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:001479035900001
出版者	SPRINGER BASEL AG
原始文献类型	Article ; Early Access
EISSN	1420-8938
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/39149
专题	信息工程与人工智能学院
通讯作者	Yang, Sibei
作者单位	1.Lanzhou Univ, Sch Math, Stat Gansu Key Lab Appl Math & Complex Syst, Lanzhou 730000, Peoples R China; 2.Lanzhou Univ Finance & Econ, Sch Informat Engn & Artificial Intelligence, Lanzhou 730020, Peoples R China
第一作者单位	信息工程与人工智能学院
推荐引用方式 GB/T 7714	Xin, Yinping,Yang, Sibei. Boundedness estimate for certain Calder on-Zygmund typesingular integrals onBMOspaces[J]. ARCHIV DER MATHEMATIK,2025.
APA	Xin, Yinping,&Yang, Sibei.(2025).Boundedness estimate for certain Calder on-Zygmund typesingular integrals onBMOspaces.ARCHIV DER MATHEMATIK.
MLA	Xin, Yinping,et al."Boundedness estimate for certain Calder on-Zygmund typesingular integrals onBMOspaces".ARCHIV DER MATHEMATIK (2025).