The boundedness of certain sublinear operator in the weighted variable Lebesgue spaces

Bandaliev, Rovshan A.

Czechoslovak Mathematical Journal, Tome 60 (2010) no. 2, pp. 327-337

Abstract (VO)

The main purpose of this paper is to prove the boundedness of the multidimensional Hardy type operator in weighted Lebesgue spaces with a variable exponent. As an application we prove the boundedness of certain sublinear operators on the weighted variable Lebesgue space.

Détail

Classification : 42B20, 46B50, 47B38
Keywords: variable Lebesgue space; weights; Hardy operator; boundedness

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