Geodesic
Corrections to the paper “The boundedness of certain sublinear operator in the weighted variable Lebesgue spaces“
Czechoslovak Mathematical Journal, Tome 63 (2013) no. 4, pp. 1149-1152.

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In this paper the author proved the boundedness of the multidimensional Hardy type operator in weighted Lebesgue spaces with variable exponent. As an application he proved the boundedness of certain sublinear operators on the weighted variable Lebesgue space. The proof of the boundedness of the multidimensional Hardy type operator in weighted Lebesgue spaces with a variable exponent does not contain any mistakes. But in the proof of the boundedness of certain sublinear operators on the weighted variable Lebesgue space Georgian colleagues discovered a small but significant error in my paper, which was published as R. A. Bandaliev, The boundedness of certain sublinear operator in the weighted variable Lebesgue spaces, Czech. Math. J. 60 (2010), 327–337.
DOI : 10.1007/s10587-013-0076-3
Classification : 26D15, 46B50, 47B38
Keywords: variable Lebesgue space; weight; sublinear operator; boundedness 
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     title = {Corrections to the paper {{\textquotedblleft}The} boundedness of certain sublinear operator in the weighted variable {Lebesgue} spaces{\textquotedblleft}},
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Bandaliev, Rovshan A. Corrections to the paper “The boundedness of certain sublinear operator in the weighted variable Lebesgue spaces“. Czechoslovak Mathematical Journal, Tome 63 (2013) no. 4, pp. 1149-1152. doi : 10.1007/s10587-013-0076-3. http://geodesic.mathdoc.fr/articles/10.1007/s10587-013-0076-3/

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