Corrections to the paper “The boundedness of certain sublinear operator in the weighted variable Lebesgue spaces“

Bandaliev, Rovshan A.. "Corrections to the paper “The boundedness of certain sublinear operator in the weighted variable Lebesgue spaces“." Czechoslovak Mathematical Journal 63.4 (2013): 1149-1152. <http://eudml.org/doc/260782>.

@article{Bandaliev2013,
abstract = {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.},
author = {Bandaliev, Rovshan A.},
journal = {Czechoslovak Mathematical Journal},
keywords = {variable Lebesgue space; weight; sublinear operator; boundedness; variable Lebesgue space; weight; sublinear operator; boundedness},
language = {eng},
number = {4},
pages = {1149-1152},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Corrections to the paper “The boundedness of certain sublinear operator in the weighted variable Lebesgue spaces“},
url = {http://eudml.org/doc/260782},
volume = {63},
year = {2013},
}

TY - JOUR
AU - Bandaliev, Rovshan A.
TI - Corrections to the paper “The boundedness of certain sublinear operator in the weighted variable Lebesgue spaces“
JO - Czechoslovak Mathematical Journal
PY - 2013
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 63
IS - 4
SP - 1149
EP - 1152
AB - 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.
LA - eng
KW - variable Lebesgue space; weight; sublinear operator; boundedness; variable Lebesgue space; weight; sublinear operator; boundedness
UR - http://eudml.org/doc/260782
ER -