Removable singularities in the Nevanlinna class and in the Hardy classes

Abstract

ABSTRACT. We show that certain sets in Cn, n > 2, which we call n-small, are removable singularities for holomorphic functions in the Nevanlinna class. Since our class of sets includes polar sets (in R2") our result includes the previous removable singularity results for the Nevanlinna class. We give also a related result for a subclass of the Hardy class.