In this paper we survey many results on the Dirichlet space of analytic functions. Our focus is more on the classical Dirichlet space on the disc and not the potential generalizations to other domains or several variables. Additionally, we focus mainly on certain function theoretic properties of the Dirichlet space and omit covering the interesting connections between this space and operator theory. The results discussed in this survey show what is known about the Dirichlet space and compares it with the related results for the Hardy space.

The Dirichlet space: a survey

ARCOZZI, NICOLA;
2011

Abstract

In this paper we survey many results on the Dirichlet space of analytic functions. Our focus is more on the classical Dirichlet space on the disc and not the potential generalizations to other domains or several variables. Additionally, we focus mainly on certain function theoretic properties of the Dirichlet space and omit covering the interesting connections between this space and operator theory. The results discussed in this survey show what is known about the Dirichlet space and compares it with the related results for the Hardy space.
Special volume. Conference proceedings: Recent Advances in Function Related Operator Theory
45
86
N. Arcozzi; R. Rochberg; E. Sawyer; B. Wick
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/91467
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