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- W2194021111 abstract "In this paper, the authors establish the necessary and sufficient condition such that the bilinear Calderon-Zygmund operators are bounded from $Lip_{alpha}(mathbb{R}^{n})times L^{n/alpha} (mathbb{R}^{n})$ to $BMO(mathbb{R}^{n})$ space and from $Lip_{alpha}(mathbb{R}^{n})times L^{p}(mathbb{R}^{n})$ to $Lip_{alpha-n/p}(mathbb{R}^{n})$ space. As an application, the bilinear Riesz transform is a good example which meets the related conditions. Furthermore, the authors also establish another necessary and sufficient condition for the bilinear Calderon-Zygmund operators to be bounded from $Lip_{alpha}(mathbb{R}^{n})times BMO(mathbb{R}^{n})$ to $Lip_{alpha}(mathbb{R}^{n})$ space, from $Lip_{alpha_{1}}(mathbb{R}^{n})times Lip_{alpha_{2}}(mathbb {R}^{n})$ to $Lip_{alpha_{1}+alpha_{2}}(mathbb{R}^{n})$ space, and from $Lip_{alpha}(mathbb{R}^{n})times dot{B}^{s}(mathbb{R}^{n})$ to $dot{B}^{s-alpha}(mathbb{R}^{n})$ space." @default.
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- W2194021111 date "2015-12-01" @default.
- W2194021111 modified "2023-10-16" @default.
- W2194021111 title "Bilinear Calderón-Zygmund operators on Sobolev, BMO and Lipschitz spaces" @default.
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- W2194021111 doi "https://doi.org/10.1186/s13660-015-0915-x" @default.
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