Function Spaces Related to the Dirichlet Space

Nicola Arcozzi , Richard Rochberg , Eric Sawyer , Brett D. Wick

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classification 🧮 math.CV math.FA

keywords spacespacesdirichletrolesanalogiesassociatedclassicalconsider

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We present results about spaces of holomorphic functions associated to the classical Dirichlet space. The spaces we consider have roles similar to the roles of $H^{1}$ and $BMO$ in the Hardy space theory and we emphasize those analogies.

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Function Spaces Related to the Dirichlet Space

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