Parameterized Littlewood-Paley Operators on Weighted Herz Spaces |
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| Institution: | 1. Department of Mathematics, Jiaozuo University, Jiaozuo 454003, Henan, China;2. Department of Mathematics, Jiaozuo Teachers College, Jiaozuo, 454003, Henan,China |
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| Abstract: | The strong type and weak type estimates of parameterized Littlewood-Paley operators on the weighted Herz spaces Kα,pq (ω1,ω2) are considered.The boundedness of the commutators generated by BMO functions and parameterized Littlewood-Paley operators are also obtained. |
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| Keywords: | Parameterized Littlewood-Paley operator Herz space weak Herz space BMO commutator Muckenhoupt weight |
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