Generalized duality of some Banach function spaces

• The set of multipliers from one vector space to another vector space may be seen as a generalized dual space in the sense of Köthe. We give some properties of this kind of duality and prove precise estimates concerning generalized duality of XP-spaces, Lebesgue, Lorentz, Marcinkiewicz and Orlicz spaces. We complement and unify several previous results of this kind.

Ämnesord

NATURVETENSKAP  -- Matematik -- Matematisk analys (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Mathematical Analysis (hsv//eng)

Nyckelord

Matematik

Mathematics

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