Weighted Bergman Projection on the Hartogs Triangle
Complex Variables
2016-09-05 v2 Classical Analysis and ODEs
Abstract
We prove the regularity of the weighted Bergman projection on the Hartogs triangle, where the weights are powers of the distance to the singularity at the boundary. The restricted range of is proved to be sharp. By using a two-weight inequality on the upper half plane with Muckenhoupt weights, we can consider a slightly wider class of weights.
Cite
@article{arxiv.1410.6205,
title = {Weighted Bergman Projection on the Hartogs Triangle},
author = {Liwei Chen},
journal= {arXiv preprint arXiv:1410.6205},
year = {2016}
}
Comments
The article has been revised. There are 23 pages in total