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Hypoellipticity of certain infinitely degenerate second order operators. (English) Zbl 1388.35013

Summary: In this paper we establish the hypoellipticity without loss of weak derivatives of second order linear operators comprised by a linear combination, with infinite vanishing coefficients, of subelliptic operators in separate spaces. This generalizes previously known results.

MSC:

35H10 Hypoelliptic equations
30H20 Bergman spaces and Fock spaces
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