Fredholm Groupoids and Layer Potentials on Conical Domains
Operator Algebras
2018-07-17 v1 Analysis of PDEs
Functional Analysis
Abstract
We show that layer potential groupoids for conical domains constructed in an earlier paper (Carvalho-Qiao, Central European J. Math., 2013) are Fredholm groupoids, which enables us to deal with many analysis problems on singular spaces in a unified treatment. As an application, we obtain Fredholm criteria for operators on layer potential groupoids.
Keywords
Cite
@article{arxiv.1807.05418,
title = {Fredholm Groupoids and Layer Potentials on Conical Domains},
author = {Catarina Carvalho and Yu Qiao},
journal= {arXiv preprint arXiv:1807.05418},
year = {2018}
}
Comments
19 pages