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摘要
Let X-0, X-1,, X-q be left invariant real vector fields on the homogeneous group G and assume that Xi,, Xri are homogeneous of degree one and X-0 is homogeneous of degree two. In this paper we consider the following hypoelliptic operator with drift L = Sigma(q)(i,j=1) aijX(i)X(i) + a(0)X(0) where (a(ij)) is a constant matrix satisfying the elliptic condition in R-q and a(0) not equal 0, and obtain weighted Sobolev Morrey estimates and Morrey estimates with two weights of L by establishing boundedness of several singular integrals and interpolation lemmas on G.
- 出版日期2015-8-15
- 单位西北工业大学
