| COMPLEX INTERPOLATION OF Lp（C,H）SPACES WITH RESPECT TO CULLEN-REGULAR |
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| 引用本文： | 贺凯莉,何建勋,娄珍珍.COMPLEX INTERPOLATION OF Lp（C,H）SPACES WITH RESPECT TO CULLEN-REGULAR[J].数学物理学报(B辑英文版),2022(2):774-788. |
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| 作者姓名： | 贺凯莉 何建勋 娄珍珍 |
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| 作者单位： | School of Mathematics and Information Sciences,Guangzhou University |
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| 基金项目： | supported by the National Natural Science Foundation of China (12071229)； |
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| 摘 要： | The aim of this paper is to prove a new version of the Riesz-Thorin interpolation theorem on LP(C,H).In the sense of Cullen-regular,we show Hadamard’s three-lines theorem by means of the Maximum modulus principle on a symmetric slice domain.In addition,two applications of the Riesz-Thorin theorem are presented.Finally,we investigate two kinds of Calderón’s complex interpolation methods in LP(C,H).
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