A class of complex quasi-Orlicz spaces and their analytic RN property |
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Authors: | Liu Peide Hou Youliang |
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Institution: | (1) College of Mathematical Sciences, Wuhan University, 430072 Wuhan, China |
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Abstract: | LetX be a complex quasi-Banach space and Φ:0,∞)→0,∞) an increasing convex function with Φ(0)=0,
and Φ∈Δ2. ThenL
Φ
*
(X) is a quasi-Banach space with continuous quasi-norm andL
Φ
*
(X) has the ARNP if and only ifX does.
Supported by the National Natural Science Foundation of China
Liu Peide: born in 1943, Professor |
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Keywords: | Orlicz space quasi-Banach space analytic RN property analytic martingale |
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