New atomic decompositons for Bergman spaces on the unit ball
Complex Variables
2015-04-03 v1
Abstract
We derive atomic decompositions and frames for weighted Bergman spaces of several complex variables on the unit ball in the spirit of Coifman, Rochberg, and Luecking. In contrast to our predecessors, we use group theoretic methods, in particular the representation theory of the discrete series of and its covering groups. One of the benefits is a much larger class of admissible
Keywords
Cite
@article{arxiv.1504.00381,
title = {New atomic decompositons for Bergman spaces on the unit ball},
author = {Jens Christensen and Karlheinz Gröchenig and Gestur Ólafsson},
journal= {arXiv preprint arXiv:1504.00381},
year = {2015}
}
Comments
19 pages