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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
R. A. Bandaliev: The boundedness of certain sublinear operator in the weighted variable Lebesgue spaces. Czech. Math. J. 60 (2010), 327–337.
L. Diening, P. Harjulehto, P. Hasto, M. Růžička: Lebesgue and Sobolev Spaces with Variable Exponents. Lecture Notes in Mathematics 2017, Springer, Berlin, 2011.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Bandaliev, R.A. Corrections to the paper “The boundedness of certain sublinear operator in the weighted variable Lebesgue spaces”. Czech Math J 63, 1149–1152 (2013). https://doi.org/10.1007/s10587-013-0076-3
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10587-013-0076-3