Functions of Omega-Bounded Type : Basic Theory EPUB

by Armen M. Jerbashian, Joel E. Restrepo

Part of the Frontiers in Mathematics series

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