Sobolev mapping of some holomorphic projections
arXiv:1904.04383 · doi:10.1007/s12220-019-00345-6
Abstract
Sobolev irregularity of the Bergman projection on a family of domains containing the Hartogs triangle is shown. On the Hartogs triangle itself, a sub-Bergman projection is shown to satisfy better Sobolev norm estimates than its Bergman projection.