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| ON THE CONVEXITY OF SOME BANACH SPACES |
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Citation： |
SHEN Yuliang.ON THE CONVEXITY OF SOME BANACH SPACES[J].Chinese Annals of Mathematics B,2001,22(1):75~84 |
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Net amount： 862 |
Authors： |
SHEN Yuliang; |
Foundation： |
Project supported by the National Natural Science Foundation of China (No.19701024). |
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| Abstract： |
Let R be a hyperbolic Riemann surface of conformal infinite type. Denote by A the Banach space of all integrable holomorphic quadratic differentials on R, and by $B_0$ and B the predual and dual of A, respectively. This paper gives a complete description of the convexity of these three spaces. |
Keywords： |
Convexity, Quadratic differential, Beltrami differential |
Classification： |
30F30, 30C70, 30F60, 46B20 |
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