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Littlewood-Paley inequalities in uniformly convex and uniformly smooth Banach spaces |
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| Authors: | Karen Avetisyan Miroslav Pavlovi? |
| Affiliation: | a Faculty of Physics, Yerevan State University, Alex Manoogian street 1, Yerevan 375025, Armenia b Fakultet Organizacionih Nauka, Jove Ili?a 154, Belgrade, Serbia c Matemati?ki Fakultet, Studentski trg 16, 11001 Belgrade, p.p. 550, Serbia |
| Abstract: | It is proved that the inequality δX(ε)?cεp, p?2, where δX is the modulus of convexity of X, is sufficient and necessary for the inequality |
| Keywords: | Uniform p-convexity Uniform p-smoothness Littlewood-Paley inequality Hardy space Banach space Harmonic function |
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