Vector valued bilinear maximal operator and method of rotations |
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| Authors: | Parasar Mohanty Saurabh Shrivastava |
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| Institution: | Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, 208016, India |
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| Abstract: | In this paper we obtain a bilinear analogue of Fefferman-Stein?s vector valued inequality for classical Hardy-Littlewood maximal function. Also, we prove the boundedness of bilinear Hardy-Littlewood maximal operator from Lp1(Rn)×Lp2(Rn)→L1(Rn), where  , by applying the method of rotations. |
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| Keywords: | Bilinear multiplier operators Hardy-Littlewood maximal function |
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