Bilinear θ-type Calderón–Zygmund operators and its commutator on generalized weighted Morrey spaces over RD-spaces
An RD-space X is a space of homogeneous type in the sense of Coifman and Weiss with the extra property that a reverse doubling property holds in X. The authors establish the boundedness of the bilinear θ-type Calderón–Zygmund operator Tθ and its commutator [b1,b2,Tθ] in this setting. These are gener...
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Elsevier
2025-05-01
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| Series: | Results in Applied Mathematics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2590037425000512 |
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| author | Suixin He Shuangping Tao |
| author_facet | Suixin He Shuangping Tao |
| author_sort | Suixin He |
| collection | DOAJ |
| description | An RD-space X is a space of homogeneous type in the sense of Coifman and Weiss with the extra property that a reverse doubling property holds in X. The authors establish the boundedness of the bilinear θ-type Calderón–Zygmund operator Tθ and its commutator [b1,b2,Tθ] in this setting. These are generated by the function b1,b2∈BMO(μ) and Tθ on generalized weighted Morrey space Mp,ϕ(ω) and generalized weighted weak Morrey space WMp,ϕ(ω) over RD-spaces. |
| format | Article |
| id | doaj-art-fe62d8b623ba4ebd9a023299c8cd58fe |
| institution | OA Journals |
| issn | 2590-0374 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Applied Mathematics |
| spelling | doaj-art-fe62d8b623ba4ebd9a023299c8cd58fe2025-08-20T01:52:23ZengElsevierResults in Applied Mathematics2590-03742025-05-012610058710.1016/j.rinam.2025.100587Bilinear θ-type Calderón–Zygmund operators and its commutator on generalized weighted Morrey spaces over RD-spacesSuixin He0Shuangping Tao1School of Mathematics and Statistics, Yili Normal University, Yining 835000, China; Institute of Applied Mathematics, Yili Normal University, Yining 835000, China; Corresponding author.College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, ChinaAn RD-space X is a space of homogeneous type in the sense of Coifman and Weiss with the extra property that a reverse doubling property holds in X. The authors establish the boundedness of the bilinear θ-type Calderón–Zygmund operator Tθ and its commutator [b1,b2,Tθ] in this setting. These are generated by the function b1,b2∈BMO(μ) and Tθ on generalized weighted Morrey space Mp,ϕ(ω) and generalized weighted weak Morrey space WMp,ϕ(ω) over RD-spaces.http://www.sciencedirect.com/science/article/pii/S2590037425000512RD-spaceθ-type Calderón–Zygmund operatorCommutatorGeneralized weighted Morrey spaces |
| spellingShingle | Suixin He Shuangping Tao Bilinear θ-type Calderón–Zygmund operators and its commutator on generalized weighted Morrey spaces over RD-spaces Results in Applied Mathematics RD-space θ-type Calderón–Zygmund operator Commutator Generalized weighted Morrey spaces |
| title | Bilinear θ-type Calderón–Zygmund operators and its commutator on generalized weighted Morrey spaces over RD-spaces |
| title_full | Bilinear θ-type Calderón–Zygmund operators and its commutator on generalized weighted Morrey spaces over RD-spaces |
| title_fullStr | Bilinear θ-type Calderón–Zygmund operators and its commutator on generalized weighted Morrey spaces over RD-spaces |
| title_full_unstemmed | Bilinear θ-type Calderón–Zygmund operators and its commutator on generalized weighted Morrey spaces over RD-spaces |
| title_short | Bilinear θ-type Calderón–Zygmund operators and its commutator on generalized weighted Morrey spaces over RD-spaces |
| title_sort | bilinear θ type calderon zygmund operators and its commutator on generalized weighted morrey spaces over rd spaces |
| topic | RD-space θ-type Calderón–Zygmund operator Commutator Generalized weighted Morrey spaces |
| url | http://www.sciencedirect.com/science/article/pii/S2590037425000512 |
| work_keys_str_mv | AT suixinhe bilinearthtypecalderonzygmundoperatorsanditscommutatorongeneralizedweightedmorreyspacesoverrdspaces AT shuangpingtao bilinearthtypecalderonzygmundoperatorsanditscommutatorongeneralizedweightedmorreyspacesoverrdspaces |