A NORMALITY CRITERION FOR FAMILIES OF HOLOMORPHIC MAPPINGS UNDER A CONDITION OF UNIFORM BOUNDEDNESS OF THEIR TANGENT MAPPINGS ON THE INVERSE IMAGES OF HYPERSURFACE TARGETS

DOI: 10.18173/2354-1059.2023-0021

Tóm tắt

In [1], the authors proved that there is a union D of a finite number of hypersurfaces in the complex projective space P n(C) such that for every entire curve f in P n(C) if the spherical derivative f# of f is bounded on f−1(D), then f# is bounded on the entire complex plane, and hence, f is a Brody curve. In this paper, we shall give the counterpart of their result on the normal family of holomorphic mappings.