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RESEARCH PRODUCT

Holomorphic mappings of bounded type

Manuel MaestrePablo GalindoDomingo García

subject

Pure mathematicsMathematics::Complex VariablesApplied MathematicsHolomorphic functional calculusMathematical analysisHolomorphic functionBanach spaceType (model theory)Bounded typeLinearizationFréchet spaceUniform boundednessAnalysisMathematics

description

Abstract For a Banach space E, we prove that the Frechet space H b(E) is the strong dual of an (LB)-space, B b(E), which leads to a linearization of the holomorphic mappings of bounded type. It is also shown that the holomorphic functions defined on (DFC)-spaces are of uniformly bounded type.

yearjournalcountryeditionlanguage
1992-05-01Journal of Mathematical Analysis and Applications
10.1016/0022-247x(92)90339-fhttp://dx.doi.org/10.1016/0022-247x(92)90339-f