Multidimensional Lusin-type inequalities for Grand Lebesgue Spaces
Functional Analysis
2015-02-12 v1
Abstract
We generalize in this short paper the classical Luzin's theorem about existence of integral on the measurable function and its multidimensional analogues on the many popular classes of rearrangement invariant (r.i.) spaces, namely, on the so-called Grand Lebesgue Spaces.
Keywords
Cite
@article{arxiv.1502.03145,
title = {Multidimensional Lusin-type inequalities for Grand Lebesgue Spaces},
author = {E. Ostrovsky and L Sirota},
journal= {arXiv preprint arXiv:1502.03145},
year = {2015}
}