Functions of Omega-Bounded Type
Armen M. Jerbashian, Joel E. Restrepo
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Naturwissenschaften, Medizin, Informatik, Technik / Analysis
Beschreibung
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.
Kundenbewertungen
Green Type Potentials, Embedding, Hilbert Spaces, Lebesgue Measure, Generalized Hadamard Operator, Blaschke Type Factors, The Growth Characteristic, Banach Spaces, Regular Functions, Frotman Capacity, Paramer-Functions, Representations, Projection, Factorization Theory, Nevanlinna Class, Boundary Behaviour, Bounded Type, Kernels