Zalcman-Type Rescaling and Normality via TotalDerivatives in Cn
DOI:
https://doi.org/10.2298/FIL2609179KKeywords:
Normal families, Zalcman’s lemma, Total derivative, Holomorphic functionsAbstract
We study normal families of holomorphic functions in Cn through a generalization of Zalcman’s Lemma involving total derivatives. A new rescaling theorem is established, leading to a criterion for normality based on value separation and derivative bounds.
