Basic Theory Jerbashian, Armen M. creator author. aut http://id.loc.gov/vocabulary/relators/aut Restrepo, Joel E. author. aut http://id.loc.gov/vocabulary/relators/aut SpringerLink (Online service) text sz 2024 1st ed. 2024. monographic eng

electronic

electronic resource

access XVII, 360 p. online resource. The book gives the basic results of the theory of the spaces Apω of functions holomorphic in the unit disc, halfplane and in the finite complex plane, which depend on functional weights ω permitting any rate of growth of a function near the boundary of the domain. This continues and essentially improves M.M. Djrbashian's theory of spaces Apα (1945) of functions holomorphic in the unit disc, the English translation of the detailed and complemented version of which (1948) is given in Addendum to the book. Besides, the book gives the ω-extensions of M. M. Djrbashian's two factorization theories of functions meromorphic in the unit disc of 1945-1948 and 1966-1975 to classes of functions delta-subharmonic in the unit disc and in the half-plane. The book can be useful for a wide range of readers. It can be a good handbook for Master, PhD students and Postdoctoral Researchers for enlarging their knowledge and analytical methods, as well as a useful resource for scientists who want to extend their investigation fields. by Armen M. Jerbashian, Joel E. Restrepo. Functions of complex variables Functional analysis Potential theory (Mathematics) Functions of a Complex Variable Several Complex Variables and Analytic Spaces Functional Analysis Potential Theory QA331.7 9783031498855 https://doi.org/10.1007/978-3-031-49885-5 https://doi.org/10.1007/978-3-031-49885-5 240227 20251030111455.0 978-3-031-49885-5