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Area Integral Functions and H Functional Calculus for Sectorial Operators on Hilbert Spaces |
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| Authors: | Zeqian CHEN Mu SUN |
| Affiliation: | 1. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China;2. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China;3. University of Chinese Academy of Sciences, Beijing 100049, China |
| Abstract: | Area integral functions are introduced for sectorial operators on Hilbert spaces. We establish the equivalence relationship between the square and area integral functions. This immediately extends McIntosh/Yagi's results on H∞ functional calculus of sectorial operators on Hilbert spaces to the case when the square functions are replaced by the area integral functions. |
| Keywords: | sectorial operator H&infin functional calculus area integral function square function Hilbert space |
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