The Nemitskij operator on Lipk-type and BVk-type spaces

• Autorzy: Giménez J. , López L. , Merentes N.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we discuss and present various results about acting and boundedness conditions of the autonomous Nemitskij operator on certain function spaces related to the space of all real valued Lipschitz (of bounded variation, absolutely continuous) functions defined on a compact interval of R. We obtain a result concerning the integrability of products of the form (…) and a generalized version of the chain rule for functions a.e differentiable, in the sense of Lebesgue. As an application, we get a generalization of a theorem due to V. I. Burenkov for the case of functions of bounded Riesz-p-variation.

Słowa kluczowe

EN

Nemytskij operator; function of bounded variation; Lipschitz continuous function; absolutely continuous function

PL

operator Nemytskija; funkcja o wahaniu skończonym; funkcja ciągła Lipschitza; funkcja bezwzględnie ciągła

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2013
• Tom: Vol. 46, nr 3
• Strony: 543--558
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Giménez J.

• Universidad de Los Andes, Facultad de Ciencias, Dpto. de Matemáticas, Mérida-Venezuela

autor

López L.

• Universidad de Los Andes, Facultad de Ciencias, Dpto. de Matemáticas, Mérida-Venezuela

autor

Merentes N.

• Universidad de Los Andes, Facultad de Ciencias, Dpto. de Matemáticas, Mérida-Venezuela

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