Subelliptic estimates for certain complexes of pseudodifferential operators
โ Scribed by David Hecker; W.J. Sweeney
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 837 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0022-0396
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๐ SIMILAR VOLUMES
## Abstract In this paper we prove subelliptic estimates for operators of the form ฮ__~x~ +__ ฮป^2^ (__x__)__S__ in โ__^N^__ = โ ร โ, where the operator __S__ is an elliptic integro โ differential operator in โ__^N^__ and ฮป is a nonnegative Lipschitz continuous function.
In this work we shall study a definition of subunit ball for non-negative symbols of sub-elliptic pseudodifferential operators, extending in phase-space the one given by Stein, Nagel, and Wainger in the differential-operator case. Using microlocal methods introduced by Fefferman and Phong, we prove