Maximal and other operators in exponential Orlicz and Grand Lebesgue Spaces
Functional Analysis
2017-06-26 v1
Abstract
We derive in this preprint the exact up to multiplicative constant non-asymptotical estimates for the norms of some non-linear in general case operators, for example, the so-called maximal functional operators, in two probabilistic rearrangement invariant norm: exponential Orlicz and Grand Lebesgue Spaces. We will use also the theory of the so-called Grand Lebesgue Spaces (GLS) of measurable functions.
Keywords
Cite
@article{arxiv.1706.07539,
title = {Maximal and other operators in exponential Orlicz and Grand Lebesgue Spaces},
author = {E. Ostrovsky and L. Sirota},
journal= {arXiv preprint arXiv:1706.07539},
year = {2017}
}