- Title: Bergman and Hardy spaces of holomorphic disc bundles over compact Riemann surfaces - Speaker: Prof. Masanori Adachi (Tokyo University of Science) - Abstract:We would like to discuss the space of holomorphic functions on holomorphic disc bundles over compact Riemann surfaces of genus > 1. Such a disc bundle is known to be Stein in most cases, and its further properties, for example, the Liouville property, are of interest. In this talk, I will show that for a specific case its Hardy space vanishes and hence it is Liouville. Although this fact is implicit in an old paper by L. Garnett, I will give another proof based on an integral formula of Ph. A. Griffiths. - Place: GAIA Seminar Room (#106, Math Science bldg.) |
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