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- W2743548635 abstract "Denote by $T$ and $I_{alpha}$ the bilinear Calder'{o}n-Zygmund operators and bilinear fractional integrals, respectively. In this paper, it is proved that if $b_{1},b_{2}in {rm CMO}$ (the {rm BMO}-closure of $C^{infty}_{c}(mathbb{R}^n)$), $[Pi vec{b},T]$ and $[Pivec{b},I_{alpha}]$ $(vec{b}=(b_{1},b_{2}))$ are all the compact operators from $mathcal{M}^{p_{0}}_{vec{P}}$ (the norm of $mathcal{M}^{p_{0}}_{vec{P}}$ is strictly smaller than $2-$fold product of the Morrey norms) to $M^{q_{0}}_{q}$ for some suitable indexes $p_{0},p_{1},p_{2}$ and $q_{0},q$. Specially, we also show that if $b_{1}=b_{2}$, then $b_{1}, b_{2}in {rm CMO}$ is necessary for the compactness of $[Pivec{b},I_{alpha}]$ on Morrey space." @default.
- W2743548635 created "2017-08-17" @default.
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- W2743548635 date "2017-03-19" @default.
- W2743548635 modified "2023-10-16" @default.
- W2743548635 title "Sharp estimates for commutators of bilinear operators on Morrey type spaces" @default.
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- W2743548635 doi "https://doi.org/10.48550/arxiv.1703.06395" @default.
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