English

Function Spaces Related to the Dirichlet Space

Complex Variables 2011-09-13 v1 Functional Analysis

Abstract

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 H1H^{1} and BMOBMO in the Hardy space theory and we emphasize those analogies.

Keywords

Cite

@article{arxiv.0812.3422,
  title  = {Function Spaces Related to the Dirichlet Space},
  author = {Nicola Arcozzi and Richard Rochberg and Eric Sawyer and Brett D. Wick},
  journal= {arXiv preprint arXiv:0812.3422},
  year   = {2011}
}

Comments

v1: 19 pages

R2 v1 2026-06-21T11:53:23.131Z