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On a class of maximally hypoelliptic operators

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Abstract

The maximal hypoellipticity of the operator X 2m1 , ... X 2mk is proved, where Xj are first-order pseudodifferential operators and m is a natural number. It is assumed that the set of these operators and their first-order commutators is an elliptic system. The results obtained generalize the well-known results of Hormander, Oleinik, and Radkevich, Kohn, Helffer, and Nourrigat, and Rothshield and Stein. Bibliography: 9 titles.

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Authors
  1. Yu. V. Egorov
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  2. Nguyen Min Chi
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Additional information

Translated from Trudy Seminara imeni I. G. Petrovskogo, No. 17, pp. 3–26, 1994.

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Egorov, Y.V., Chi, N.M. On a class of maximally hypoelliptic operators. J Math Sci 75, 1615–1630 (1995). https://doi.org/10.1007/BF02368666

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  • DOI: https://doi.org/10.1007/BF02368666

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