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The book gives the basic results of the theory of the spaces Ap¿ 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 Ap¿ (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.
| Autorius: | Joel E. Restrepo, Armen M. Jerbashian, |
| Serija: | Frontiers in Mathematics |
| Leidėjas: | Springer Nature Switzerland |
| Išleidimo metai: | 2024 |
| Knygos puslapių skaičius: | 380 |
| ISBN-10: | 3031498844 |
| ISBN-13: | 9783031498848 |
| Formatas: | 240 x 168 x 21 mm. Knyga minkštu viršeliu |
| Kalba: | Anglų |
Parašykite atsiliepimą apie „Functions of Omega-Bounded Type: Basic Theory“
