Multilinear fractional Hausdorff operators |
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| Authors: | Da Shan Fan Fa You Zhao |
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| Institution: | 1. Department of Mathematical Sciences, University of Wisconsin-Milwaukee, Milwaukee, WI, 53201, USA
2. Department of Mathematics, Shanghai University, Shanghai, 200444, P. R. China
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| Abstract: | In this paper, by introducing the space with weak mixed norms, weak type estimates of two kinds of multilinear fractional Hausdorff operators {ie1407-1} and {ie1407-2} on Lebesgue spaces are shown. By virtue of Marcinkiewicz interpolation, strong type estimates of these two operators on Lebesgue spaces are also obtained. Our methods shed some new light on dealing with the case of non-radial function Φ. |
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| Keywords: | Multilinear fractional Hausdorff operators bilinear fractional Hardy operator weak type strong type |
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