paper

Bergman-type projections in generalized Fock spaces

arXiv:1105.5600

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.

24 pages, no figures

Bergman-type projections in generalized Fock spaces · wovepaper