Functions of Omega-Bounded Type (eBook)

Basic Theory

Armen M. Jerbashian, Joel E. Restrepo (Autoren)

eBook Download: PDF

2024
360 Seiten
Springer Nature Switzerland (Verlag)
9783031498855 (ISBN)

Infos

The book gives the basic results of the theory of the spaces A^pω 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^pα (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.

Produkt-Details

• Erscheint lt. Verlag: 27.2.2024
• Reihe/Serie: Frontiers in Mathematics
• Zusatzinfo: XVII, 360 p.
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Schlagworte: Banach spaces • Blaschke Type Factors • boundary behaviour • Bounded Type • Embedding • Factorization Theory • Frotman Capacity • Generalized Hadamard Operator • Green Type Potentials • Hilbert spaces • kernels • Lebesgue measure • Nevanlinna Class • Paramer-Functions • projection • Regular Functions • representations • The Growth Characteristic
• ISBN-13: 9783031498855 / 9783031498855