Functions of Omega-Bounded Type

Basic Theory

von Armen M. Jerbashian, Joel E. Restrepo

360 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

The book gives the basic results of the theory of the spaces A
p
ω 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 A
p
α (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.

• Reihe: Frontiers in Mathematics
• ISBN: 9783031498848
• Sprache: Englisch
• Erscheinungsdatum: 28.02.2024
• Genre: Mathematik/Analysis
• Verlag: Springer International Publishing