6533b7cefe1ef96bd1257139

RESEARCH PRODUCT

Norm, essential norm and weak compactness of weighted composition operators between dual Banach spaces of analytic functions

Ilmari NieminenTed EklundMikael LindströmPablo Galindo

subject

Discrete mathematicsMathematics::Functional AnalysisApplied MathematicsTopological tensor product010102 general mathematicsEberlein–Šmulian theoremWeakly compact operatorBloch type spaceBanach manifoldFinite-rank operator01 natural sciences010101 applied mathematicsEssential normWeighted spaces of analytic functionsFréchet spaceWeighted composition operatorInterpolation spaceBirnbaum–Orlicz space0101 mathematicsLp spaceAnalysisMathematics

description

Abstract In this paper we estimate the norm and the essential norm of weighted composition operators from a large class of – non-necessarily reflexive – Banach spaces of analytic functions on the open unit disk into weighted type Banach spaces of analytic functions and Bloch type spaces. We also show the equivalence of compactness and weak compactness of weighted composition operators from these weighted type spaces into a class of Banach spaces of analytic functions, that includes a large family of conformally invariant spaces like BMOA and analytic Besov spaces.

yearjournalcountryeditionlanguage
2017-07-01
http://urn.fi/urn:nbn:fi-fe2019032810234