Pseudodifferential operators of mixed type adapted to distributions of $k$-planes
Classical Analysis and ODEs
2014-12-12 v2 Analysis of PDEs
Complex Variables
Abstract
We study the phenomena that arise when we combine the standard pseudodifferential operators with those operators that appear in the study of some sub-elliptic estimates, and on strongly pseudoconvex domains. The algebra of operators we introduce is geometrically invariant, and is adapted to a smooth distribution of tangent subspaces of constant rank. We isolate certain ideals in the algebra whose analysis is of particular interest.
Keywords
Cite
@article{arxiv.1311.0245,
title = {Pseudodifferential operators of mixed type adapted to distributions of $k$-planes},
author = {Elias M. Stein and Po-Lam Yung},
journal= {arXiv preprint arXiv:1311.0245},
year = {2014}
}
Comments
typos fixed