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VIDEO LIBRARY |
The 27th International Conference on Finite and Infinite Dimensional Complex Analysis and Applications
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Characterizations of Bloch functions on the homogeneous unit ball in a complex Banach space T. Honda Senshu University |
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Abstract: There are many equivalent conditions for Bloch functions on the unit disc $\mathbb U = \{ \zeta \in \mathbb C \mid |\zeta|<1 \}$ The concept of a Bloch function has been extended to various complex domains in finite or infinite dimensions. In particular, a definition of a complex-valued Bloch function on a bounded homogeneous domain was given by R. Timoney, who has shown that several equivalent conditions for complex-valued Bloch functions on the complex unit disc In this talk, we begin by defining a Bloch function on a possibly infinite dimensional bounded symmetric domain and extend further to this setting several equivalent conditions for Bloch functions given by R. Timoney for finite dimensional domains. Language: English |