Inner Functions, Outer Functions and more in the Dirichlet Space

Shengzhao Hou  (Suzhou University)

9:00 am -10:00 am, November 25, 2016   Science Building A1510

Abstract:

The theory on inner functions,outer functions and orthogonal functions plays a fundamental role in the study of the Hardy space. The same conceptions can be defined for the Dirichlet space but its role in the space is more subtle and not well understood. We will discuss its application, in particular, its relevance to the invariant subspace of the Dirichlet space.

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