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 B0 and B the predual and dual of A, respectively. This ...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 B0 and B the predual and dual of A, respectively. This paper gives a complete description of the convexity of these three spaces.展开更多
基金Project supported by the National Natural Science Foundation of China (No.19701024).
文摘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 B0 and B the predual and dual of A, respectively. This paper gives a complete description of the convexity of these three spaces.