English

Norm estimates in Grand Lebesgue Spaces for some operators, including magic square matrices

Functional Analysis 2023-08-17 v1

Abstract

We extend the classical Lebesgue-Riesz norm estimations for integral operators acting between different classical Lebesgue-Riesz spaces into the Grand Lebesgue Spaces, in the general case. As an example we consider matrix operators acting between finite dimensional Lebesgue-Riesz spaces, especially generated by means of positive magic squares.

Keywords

Cite

@article{arxiv.2308.08068,
  title  = {Norm estimates in Grand Lebesgue Spaces for some operators, including magic square matrices},
  author = {Maria Rosaria Formica and Eugeny Ostrovsky and Leonid Sirota},
  journal= {arXiv preprint arXiv:2308.08068},
  year   = {2023}
}
R2 v1 2026-06-28T11:56:36.349Z