Function Spaces Related to the Dirichlet Space

Details Function Spaces Related to the Dirichlet Space Function Spaces Related to the Dirichlet Space

2008-12-17

arxiv.org/abs/0812.3422v1

J. Lond. Math. Soc. (2) 83 (2011), no. 1, 1--18

Mathematics

Complex Variables

v1: 19 pages

Scientific paper

10.1112/jlms/jdq053

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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