Functions of Omega-Bounded Type : Basic Theory
Book Details
Format
Paperback / Softback
Book Series
Frontiers in Mathematics
ISBN-10
3031498844
ISBN-13
9783031498848
Publisher
Birkhauser Verlag AG
Imprint
Birkhauser Verlag AG
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Feb 28th, 2024
Print length
360 Pages
Ksh 9,000.00
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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.
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 Apa (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.
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