The study of holomorphic semigroups and composition operators occupies a pivotal role in modern analysis, bridging complex function theory and operator theory. Holomorphic semigroups, formed by ...

In this paper, we study free holomorphic functions on regular polyballs Bn and provide analogues of several classical results from complex analysis such as: Abel theorem, Hadamard formula, Cauchy ...

The Schwarz lemma stands as a cornerstone result in complex analysis, constraining holomorphic self-mappings of the unit disc by bounding both their magnitude and derivative. Traditionally, it affirms ...

https://doi.org/10.2307/2374111 • https://www.jstor.org/stable/2374111 Copy URL ...