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arXiv · 1311.0245

Pseudodifferential operators of mixed type adapted to distributions of $k$-planes

Elias M. Stein·Po-Lam Yung
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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.

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Elias M. Stein, Po-Lam Yung. 2014-12-11. Pseudodifferential operators of mixed type adapted to distributions of $k$-planes. https://arxiv.org/abs/1311.0245

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