Injective composition operators on Lorentz-Bochner spaces

• Autorzy: Datt G. , Arora S. C.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we extend the notion of essential range to vector-valued functions and present various equivalent conditions for the injectiveness of the composition operators alongwith a characterisation for measurable transformations inducing composition operators between Lorentz-Bochner spaces. Some aspects of the weighted composition operators on Lorentz-Bochner spaces, induced by a measurable transformation and an operator valued map, are also discussed.

Słowa kluczowe

EN

composition operator; distribution function; Lorentz-Bochner space; weighted composition operator

PL

operator złożony; funkcja rozkładu; przestrzeń Lorentza-Bochnera

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2013
• Tom: Vol. 46, nr 4
• Strony: 741--756
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Datt G.

• Department of Mathematics, PGDAV College University of Delhi, Delhi–110065, India

autor

Arora S. C.

• Department of Mathematics, University of Delhi, Delhi–110007, India

Bibliografia

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