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Sharp Weighted Bounds for Multilinear fractional Maximal type Operators with Rough Kernels (1305.1865v1)
Published 8 May 2013 in math.CA
Abstract: In this paper, we will give the weighted bounds for multilinear fractional maximal type operators $\mathcal{M}{\Omega,\alpha}$ with rough homogeneous kernels. We obtain a mixed $A{(\vec{P},q)}-A_\infty$ bound and a $A_{\vec{P}}$ type estimate for $\mathcal{M}{\Omega,\alpha}$. As an application, we give an almost sharp estimate for the multilinear fractional integral operator with rough kernels $\mathcal{I}{\Omega,\alpha}$.
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