考虑定义在Heisenberg群上的弱拟正则映射其水平微商可积性的自我改善.在广义水平微商可积指数低于第1层空间维数的情况下,通过接触映射的Jacobian和广义水平微商Jacobian的关系,建立了逆向Holder不等式,从而得到其可积指数的自我提升.
In this paper, a self-improving integrability of the horizontal derivatives for weakly quasiregular mappings defined in Heisenberg group is studied. The authors establish a reverse Holder inequality of the horizontal derivatives due to the relationship between Jacobian determinant of contact maps f* and the horizontal derivatives H f*, so that the integrability of horizontal derivatives is shown to have a self-improving effect.