03096nam a22005415i 4500 978-3-031-49885-5 DE-He213 20251030111455.0 cr nn 008mamaa 240227s2024 sz | s |||| 0|eng d 9783031498855 978-3-031-49885-5 10.1007/978-3-031-49885-5 doi QA331.7 PBKD bicssc MAT040000 bisacsh PBKD thema Jerbashian, Armen M. author. aut http://id.loc.gov/vocabulary/relators/aut 72221 Functions of Omega-Bounded Type [electronic resource] : Basic Theory / by Armen M. Jerbashian, Joel E. Restrepo. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2024. XVII, 360 p. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Frontiers in Mathematics, 1660-8054 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. Functions of complex variables. 72222 Functional analysis. Potential theory (Mathematics). 72223 Functions of a Complex Variable. 72224 Several Complex Variables and Analytic Spaces. 72225 Functional Analysis. Potential Theory. 72226 Restrepo, Joel E. author. aut http://id.loc.gov/vocabulary/relators/aut 72227 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031498848 Printed edition: 9783031498862 Frontiers in Mathematics, 1660-8054 72228 https://doi.org/10.1007/978-3-031-49885-5 ZDB-2-SMA ZDB-2-SXMS 58033 58033