Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sharp Weighted Bounds for Multilinear fractional Maximal type Operators
  with Rough Kernels   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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The categories of this paper are: ao-sci
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom