A class of solvable non-homogeneous differential operators on the Heisenberg group

• Autorzy: Detlef Müller , Zhenqiu Zhang
• Języki publikacji: EN

Abstrakty

EN

In [8], we studied the problem of local solvability of complex coefficient second order left-invariant differential operators on the Heisenberg group ℍₙ, whose principal parts are "positive combinations of generalized and degenerate generalized sub-Laplacians", and which are homogeneous under the Heisenberg dilations. In this note, we shall consider the same class of operators, but in the presence of left invariant lower order terms, and shall discuss local solvability for these operators in a complete way. Previously known methods to study such non-homogeneous operators, as in [9] or [6], do not apply to these operators, and it is the main purpose of this article to introduce a new method, which should be applicable also in much wider settings.

Kategorie tematyczne

• 43A80: Analysis on other specific Lie groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2001
• Tom: 148
• Numer: 1
• Strony: 87-96

Daty

wydano

2001

Twórcy

autor

Detlef Müller

• Mathematisches Seminar, Christian-Albrechts-Universität Kiel, Ludewig-Meyn-Str. 4, 24098 Kiel, Germany

autor

Zhenqiu Zhang

• Department of Mathematics, Tianjin University, 300072 Tianjin, P.R. China

Identyfikatory

DOI

10.4064/sm148-1-8