The uniform convexity of the Edmunds-Triebel logarithmic spaces |
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| Authors: | L.Y Nikolova |
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| Affiliation: | a Department of Mathematics, Sofia University, J. Bouchier blv. 5, Sofia 1164, Bulgaria
b Department of Mathematics, University of Athens, Panepistimiopolis, 15784 Athens, Greece |
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| Abstract: | We show how uniform convexity can be preserved in the logarithmic spaces Aθ(logA)b,p. Estimates are given for the moduli of convexity of Aθ(logA)b,p in terms of the moduli of A0 and A1, when one or both of them are uniformly convex. |
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| Keywords: | Modulus of convexity Uniform convexity Complex interpolation space Banach space |
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