科研之友
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摘要
Recently, Kohn constructed examples of sums of squares of complex vector fields satisfying Hormander's condition that lose derivatives, but are nevertheless hypoelliptic. He also demonstrated optimal L(2) regularity. In this paper, we construct parametricies for Kohn's operators, which lead to the corresponding L(p) (1 < p < infinity) and Lipschitz regularity. In fact, our parametrix construction generalizes to a somewhat larger class of operators, yielding some new examples of operators which are hypoelliptic, but lose derivatives.
- 出版日期2010-7
