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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2025-05-01
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| Series: | Results in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2590037425000512 |
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| Summary: | 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. |
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| ISSN: | 2590-0374 |