Interpolation and sampling sequences for mixed-norm spaces
Complex Variables
2018-01-25 v1
Abstract
This paper extends the known characterization of interpolation and sampling sequences for Bergman spaces to the mixed-norm spaces. The Bergman spaces have conformal invariance properties not shared by the mixed-norm spaces. As a result, different techniques of proof were required.
Cite
@article{arxiv.1801.07761,
title = {Interpolation and sampling sequences for mixed-norm spaces},
author = {Phuc K. Nguyen and Daniel H. Luecking},
journal= {arXiv preprint arXiv:1801.07761},
year = {2018}
}
Comments
31 pages. The first 24 constitute the essentials of the University of Arkansas PhD thesis of the first author