Sums of squares III: hypoellipticity in the infinitely degenerate regime

Autor: Korobenko, Lyudmila, Sawyer, Eric T.
Rok vydání: 2021
Předmět:
Druh dokumentu: Working Paper
Popis: This is the third in a series of papers dealing with sums of squares and hypoellipticity in the infinitely degenerate regime. We establish a C^2,delta generalization of M. Christ's sum of squares theorem, and use a bootstrap argument with the sum of squares theorem for matrix functions in the second paper of this series, in order to prove a hypoellipticity theorem generalizing work in the infinitely degenerate regime to include nondiagonal operators and more general degeneracies.
Comment: 29 pages, typo in the statement of the main theorem corrected, introduction clarified
Databáze: arXiv