Carleson measures for Hardy and Bergman spaces in the quaternionic unit ball
Complex Variables
2017-01-25 v2
Abstract
We study a characterization of slice Carleson measures and of Carleson measures for the both the Hardy spaces and the Bergman spaces of the quaternionic unit ball . In the case of Bergman spaces, the characterization is done in terms of the axially symmetric completion of a pseudohyperbolic disc in a complex plane. We also show that a characterization in terms of pseudohyperbolic balls is not possible.
Keywords
Cite
@article{arxiv.1601.03031,
title = {Carleson measures for Hardy and Bergman spaces in the quaternionic unit ball},
author = {Irene Sabadini and Alberto Saracco},
journal= {arXiv preprint arXiv:1601.03031},
year = {2017}
}
Comments
Version to appear on J. London Math. Soc. (accepted), 21 pages, 1 figure