Bergman-type projections in generalized Fock spaces
Complex Variables
2011-05-30 v1
Abstract
We give criteria for boundedness of the associated Bergman-type projections on Lp-spaces on Cn with respect to generalized Gaussian weights exp(-|z|^2m). Complete characterization is obtained for 0<m<=1 and 2n/(2n-1)<m<2; partial results are given for other values of m.
Cite
@article{arxiv.1105.5600,
title = {Bergman-type projections in generalized Fock spaces},
author = {Helene Bommier-Hato and Miroslav Englis and El-Hassan Youssfi},
journal= {arXiv preprint arXiv:1105.5600},
year = {2011}
}
Comments
24 pages, no figures