The Green form N(z, w) of (0, 1 )-forms with respect to the harmonic operator in theinvariant metric of a ball B^n in C^n is constructed. It is proved that for any differen-tiable (0, 1)-form g(z) in B^n with compact ...The Green form N(z, w) of (0, 1 )-forms with respect to the harmonic operator in theinvariant metric of a ball B^n in C^n is constructed. It is proved that for any differen-tiable (0, 1)-form g(z) in B^n with compact support and ?g = 0, the functionis a solution of the ?-equation ?v = g such that v vanishes on the boundary ?B^n of B^n.展开更多
文摘The Green form N(z, w) of (0, 1 )-forms with respect to the harmonic operator in theinvariant metric of a ball B^n in C^n is constructed. It is proved that for any differen-tiable (0, 1)-form g(z) in B^n with compact support and ?g = 0, the functionis a solution of the ?-equation ?v = g such that v vanishes on the boundary ?B^n of B^n.
