Functions of a generalized Gevrey class are characterized by means of $L^2$-estimates of the iterates of a hypoelliptic operator with variable coefficients. The result contains previous ones obtained by T. Kotake and M. S. Narasimhan [Bull. Soc. France 90 (1962), 449--471], E. Newberger and Z. Zielezny [Proc. Amer. Math. Soc. 39 (1973), 547--552] and the author [Boll. Un. Mat. Ital. A (6) 1 (1982), 137--143].
Iterates of a class of hypoelliptic operators and generalized Gevrey classes
ZANGHIRATI, Luisa
1980
Abstract
Functions of a generalized Gevrey class are characterized by means of $L^2$-estimates of the iterates of a hypoelliptic operator with variable coefficients. The result contains previous ones obtained by T. Kotake and M. S. Narasimhan [Bull. Soc. France 90 (1962), 449--471], E. Newberger and Z. Zielezny [Proc. Amer. Math. Soc. 39 (1973), 547--552] and the author [Boll. Un. Mat. Ital. A (6) 1 (1982), 137--143].File in questo prodotto:
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