Function Spaces Related to the Dirichlet Space
Nicola Arcozzi, Richard Rochberg, Eric Sawyer, Brett D. Wick

TL;DR
This paper explores function spaces connected to the Dirichlet space, drawing analogies with Hardy space theory, and investigates their properties and roles in complex analysis.
Contribution
It introduces and analyzes new function spaces related to the Dirichlet space, highlighting their similarities to $H^{1}$ and $BMO$ in Hardy space theory.
Findings
Identification of spaces analogous to $H^{1}$ and $BMO$ within the Dirichlet space framework
Establishment of properties and roles of these spaces in holomorphic function theory
Insights into the structure and relationships of Dirichlet-related function spaces
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 and in the Hardy space theory and we emphasize those analogies.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
