Buch, Englisch, 360 Seiten, Paperback, Format (B × H): 168 mm x 240 mm, Gewicht: 636 g
Reihe: Frontiers in Mathematics
Basic Theory
Buch, Englisch, 360 Seiten, Paperback, Format (B × H): 168 mm x 240 mm, Gewicht: 636 g
Reihe: Frontiers in Mathematics
ISBN: 978-3-031-49884-8
Verlag: Springer Nature Switzerland
p
? of functions holomorphic in the unit disc, halfplane and in the finite complex plane, which depend on functional weights ? 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
a (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 ?-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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
-
Part I Omega-Weighted Classes of Area Integrable Regular Functions.
- Preliminary Results. - Spaces A
p
?(D) in the Unit Disc. - Spaces A
p
?(C) of Entire Functions. - Nevanlinna–Djrbashian Classes of Functions Delta-Subharmonic in the Unit Disc. - Spaces A
pw,
?(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..