| Boundedness estimate for certain Calder on-Zygmund typesingular integrals onBMOspaces |
| Xin, Yinping1,2 ; Yang, Sibei1
|
| 2025-04-29
|
| 在线发表日期 | 2025-04
|
| 发表期刊 | ARCHIV DER MATHEMATIK
(IF:0.518[JCR-2019],0.596[5-Year]) |
| 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 |
|
| 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).
|
修改评论