Proceedings of the Royal Irish Academy. Section A: Mathematical and Physical Sciences, Vol. 81A, No. 2 (1981), pp. 217-223 (7 pages) Let E be a nuclear Fréchet space. For open subsets U in E let H(U) ...

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 ...

Bulletin mathématique de la Société des Sciences Mathématiques de Roumanie, Nouvelle Série, Vol. 52 (100), No. 3 (2009), pp. 211-226 (16 pages) We survey results on holomorphic functions (of one ...

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 ...