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 ...

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 ...

This paper is primarily a study of generalized notions of envelope of holomorphy and holomorphic convexity for special (algebraically restricted) subsets of Cn and in part for arbitrary subsets of Cn.

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 ...