Bounded analytic functions in the Dirichlet space
نویسندگان
چکیده
منابع مشابه
Bounded Analytic Functions in the Dirichlet Space
In this paper we study the Hilbert space of analytic functions with finite Dirichlet integral in a connected open set C2 in the complex plane. We show that every such function can be represented as a quotient of two bounded analytic functions, each of which has a finite Dirichlet integral. This has several consequences for the structure of invariant subspaces of the algebra of multiplication op...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 1988
ISSN: 0025-5874,1432-1823
DOI: 10.1007/bf01163287