Invariant Subspaces of Bergman Spaces on Slit Domains

Authors

William T. Ross, University of RichmondFollow

DOI

10.1112/blms/26.5.472

Abstract

In this paper, we characterize the z-invariant subspaces that lie between the Bergman spaces A^p(G) and A^p(G\K), where 1 < p < ∞, G is a bounded region in C, and K is a closed subset of a simple, compact, C¹ arc.

Document Type

Article

Publication Date

1994

Publisher Statement

Copyright © 1994 London Mathematical Society.

The definitive version is available at: http://blms.oxfordjournals.org/content/26/5/472.full.pdf+html

DOI: 10.1112/blms/26.5.472

Full Citation:

Ross, William T. "Invariant Subspaces of Bergman Spaces on Slit Domains." Bulletin of the London Mathematical Society 26, no. 5 (1994): 472-482. doi:10.1112/blms/26.5.472.

Recommended Citation

Ross, William T., "Invariant Subspaces of Bergman Spaces on Slit Domains" (1994). Department of Math & Statistics Faculty Publications. 36.
https://scholarship.richmond.edu/mathcs-faculty-publications/36