Area integral functions for sectorial operators on L spaces |
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| Authors: | Zeqian CHEN Mu SUN |
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| Institution: | 1. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, 30 West District, Xiao-Hong-Shan, Wuhan 430071, China;2. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, 30 West District, Xiao-Hong-Shan, Wuhan 430071, China;3. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China |
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| Abstract: | Area integral functions are introduced for sectorial operators on Lp-spaces. We establish the equivalence between the square and area integral functions for sectorial operators on Lp spaces. This follows that the results of Cowling, Doust, McIntosh, Yagi, and Le Merdy on Hinfin functional calculus of sectorial operators on Lp-spaces hold true when the square functions are replaced by the area integral functions. |
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| Keywords: | Sectorial operator Hinfin Functional calculus area integral function square function Lp space |
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