Functions of Omega-Bounded Type

Armen M. Jerbashian is a researcher at the Institute of Mathematics, National Academy of Sciences of Armenia. He is well-known to specialists by his monograph “Functions of a-Bounded Type in the Half-Plane” (Springer, 2005) and exclusive results in the field of the Nevanlinna-Djrbashian theories and related topics. He has participated in several international conferences, seminars and other related events and has been involved in the organization of some of them. His research interests are mainly in complex analysis, weighted spaces of regular functions, and operator theory.Joel E. Restrepo is a postdoctoral researcher at the Ghent Analysis and PDE Center at Ghent University in Belgium. Previously, he was a postdoctoral researcher at different research centers in Russia and Kazakhstan. He has carried out mathematical research in a variety of topics connecting different areas of mathematics. His research links several techniques in complex analysis, operator theory, harmonic analysis, PDEs, etc. He has participated in many international conferences, seminars and other related events and has been involved in the organization of several of these scientific projects as well. In 2019, he was awarded by the International Society for Analysis, its Applications and Computation (ISSAC) with the life membership, in view of his achievements and contributions to the theory of weighted classes of delta-subharmonic functions and potential theory.

• - Part I Omega-Weighted Classes of Area Integrable Regular Functions. - Preliminary Results. - Spaces Apω(D) in the Unit Disc. - Spaces Apω(C) of Entire Functions. - Nevanlinna–Djrbashian Classes of Functions Delta-Subharmonic in the Unit Disc. - Spaces Apw,ᵧ(G+) in the Halfplane. - Orthogonal Decomposition of Functions Subharmonic in the Halfplane. - Nevanlinna–Djrbashian Classes in the Halfplane. - Part II Delta-Subharmonic Extension of M.M. Djrbashian Factorization Theory. - Extension of the Factorization Theory of M.M. Djrbashian. - Banach Spaces of Functions Delta-Subharmonic in the Unit Disc. - Functions of Omega-Bounded Type in the Halfplane. - Subclasses of Harmonic Functions with Nonnegative Harmonic Majorants in the Halfplane. - Subclasses of Delta-subharmonic Functions of Bounded Type in the Halfplane. - Banach Spaces of Functions Delta-subharmonic in the Halfplane..