Sub-Hardy Hilbert spaces and the Bergman kernel on the unit disk
Year: 2020
Type: preprint
Abstract: In this paper, two classes of bounded analytic functions defined by a certain positivity condition concerning the the Bergman kernel on the unit disk are introduced and studied. Then, analytic functions from the unit disk to an annulus appear naturally, and they characterize our classes. Moreover, we discuss the structure of sub-Hardy Hilbert spaces induced by those functions.
Source: arXiv (Cornell University)
Authors: Shuhei Kuwahara, Michio Seto
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3045244013