Morrey regularity of higher order degenerate elliptic equation on the Heisenberg group.

The Morrey regularity of higher order degenerate elliptic equation with VMO coefficient on the Heisen- berg group is obtained by using the boundedness of singular integrals and the commutators of singular integrals with the BMO function on the Morrey space. Furthermore, higher order derivative of vector field is represented by the sum of singular integrals and the commutators of singular integrals, and the Money regularity of strong solution to higher order degenerate elliptic equation is achieved through freezing coefficient. [ABSTRACT FROM AUTHOR]