TY  - BOOK
AU  - Jerbashian,Armen M.
AU  - Restrepo,Joel E.
ED  - SpringerLink (Online service)
TI  - Functions of Omega-Bounded Type: Basic Theory 
T2  - Frontiers in Mathematics,
SN  - 9783031498855
AV  - QA331.7 
PY  - 2024///
CY  - Cham
PB  - Springer Nature Switzerland, Imprint: Birkhäuser
KW  - Functions of complex variables
KW  - Functional analysis
KW  - Potential theory (Mathematics)
KW  - Functions of a Complex Variable
KW  - Several Complex Variables and Analytic Spaces
KW  - Functional Analysis
KW  - Potential Theory
N2  - 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
UR  - https://doi.org/10.1007/978-3-031-49885-5
ER  -