Sharp Bounds for Fractional Conjugate Hardy Operator on Higher-Dimensional Product Spaces
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In this paper, we obtain the sharp bound for fractional conjugate Hardy operator on higher-dimensional product spaces from L1ℝn1×⋯×ℝnm to the space wLQℝn1×⋯×ℝnm and Lpℝn1×⋯×ℝnm to the space Lqℝn1×⋯×ℝnm. More generally, the operator norm of the fractional Hardy operator on higher-dimensional product spaces from LPℝn1×⋯×ℝnm to LQIℝn1×⋯×ℝnm is obtained.
2013 ◽
Vol 2013
(1)
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pp. 148
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2014 ◽
Vol 17
(1)
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pp. 226-232
2008 ◽
Vol 39
(1)
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pp. 1-7
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2012 ◽
Vol 148
(4)
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pp. 1085-1132
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