Exact norm estimates for multivariate dilation operators between two Bilateral Weight Grand Lebesgue Spaces
Functional Analysis
2015-03-19 v1
Abstract
We give in this short paper a sharp estimate for the norm of a multivariate dilation operator generated by multi-matrix (tensor) linear argument transformation (dilation operator) between two different weight Lebesgue-Riesz and Grand Lebesgue Spaces(GLS). We consider also some examples and study the compactness of these operators.
Keywords
Cite
@article{arxiv.1503.05235,
title = {Exact norm estimates for multivariate dilation operators between two Bilateral Weight Grand Lebesgue Spaces},
author = {E. Ostrovsky and L. Sirota},
journal= {arXiv preprint arXiv:1503.05235},
year = {2015}
}