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 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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.
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 
@article{10_1007_s10587_013_0076_3,
     author = {Bandaliev, Rovshan A.},
     title = {Corrections to the paper {{\textquotedblleft}The} boundedness of certain sublinear operator in the weighted variable {Lebesgue} spaces{\textquotedblleft}},
     journal = {Czechoslovak Mathematical Journal},
     pages = {1149--1152},
     year = {2013},
     volume = {63},
     number = {4},
     doi = {10.1007/s10587-013-0076-3},
     mrnumber = {3165519},
     zbl = {06373966},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10587-013-0076-3/}
}
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
SP  - 1149
EP  - 1152
VL  - 63
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.1007/s10587-013-0076-3/
DO  - 10.1007/s10587-013-0076-3
LA  - en
ID  - 10_1007_s10587_013_0076_3
ER  - 
%0 Journal Article
%A Bandaliev, Rovshan A.
%T Corrections to the paper “The boundedness of certain sublinear operator in the weighted variable Lebesgue spaces“
%J Czechoslovak Mathematical Journal
%D 2013
%P 1149-1152
%V 63
%N 4
%U http://geodesic.mathdoc.fr/articles/10.1007/s10587-013-0076-3/
%R 10.1007/s10587-013-0076-3
%G en
%F 10_1007_s10587_013_0076_3
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

Cité par Sources :