TY - JOUR
T1 - Local Solvability for a Class of Nonhomogeneous Left Invariant Differential Operators on H<sub>R</sub> \bigotimes R<sup>k</sup>
AU - Fu Chuli
JO - Journal of Partial Differential Equations
VL - 2
SP - 16
EP - 26
PY - 1990
DA - 1990/03
SN - 3
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5795.html
KW - Local solvability
KW - nilpotent Lie group
KW - nonhomogeneous left invariant differential operator
AB -  In this paper we discuss tbe local solvability of the following nonhomogeneous left invariant differential operators on the nilpotent Lie group H_n⊗R^K: P(X, Y, T, Z) = Σ_{|α+β|+ζ+|y|≤m|α+β|+2l=a}a_{αβly}X^αY^βT^lZ^y where X_j, Y_j (j = 1, 2, …, n), T, Z_j(j = l, 2, …, K) are bases of left invariant vector fields on H_n⊗R^K and a_{αβly} are complex constants.