We prove via FBI-transform a result concerning the microlocal Gevrey regularity of analytic vectors for operators sums of squares of vector fields with real-valued real analytic coefficients of Hormander type, thus providing a microlocal version, in the analytic category, of a result due to Derridj (Pac J Math 302(2):511-543, 2019) concerning the problem of the local regularity for the Gevrey vectors for sums of squares of vector fields with real-valued real analytic/Gevrey coefficients.
On the microlocal regularity of the analytic vectors for "sums of squares" of vector fields / Chinni, G; Derridj, M. - In: MATHEMATISCHE ZEITSCHRIFT. - ISSN 0025-5874. - ELETTRONICO. - 302:(2022), pp. 1983-2003. [10.1007/s00209-022-03129-x]
On the microlocal regularity of the analytic vectors for "sums of squares" of vector fields
Chinni, G
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2022
Abstract
We prove via FBI-transform a result concerning the microlocal Gevrey regularity of analytic vectors for operators sums of squares of vector fields with real-valued real analytic coefficients of Hormander type, thus providing a microlocal version, in the analytic category, of a result due to Derridj (Pac J Math 302(2):511-543, 2019) concerning the problem of the local regularity for the Gevrey vectors for sums of squares of vector fields with real-valued real analytic/Gevrey coefficients.| File | Dimensione | Formato | |
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Microlocal regularity Analytic Vectors sums of squares.pdf
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