Geodesic
The boundedness of certain sublinear operator in the weighted variable Lebesgue spaces
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 2, pp. 327-337.

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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.
Classification : 42B20, 46B50, 47B38
Keywords: variable Lebesgue space; weights; Hardy operator; boundedness 
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     author = {Bandaliev, Rovshan A.},
     title = {The boundedness of certain sublinear operator in the weighted variable {Lebesgue} spaces},
     journal = {Czechoslovak Mathematical Journal},
     pages = {327--337},
     publisher = {mathdoc},
     volume = {60},
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     year = {2010},
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     zbl = {1222.47045},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2010__60_2_a2/}
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Bandaliev, Rovshan A. The boundedness of certain sublinear operator in the weighted variable Lebesgue spaces. Czechoslovak Mathematical Journal, Tome 60 (2010) no. 2, pp. 327-337. http://geodesic.mathdoc.fr/item/CMJ_2010__60_2_a2/