2023arXiv (Cornell University)Open access

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

Maria Rosaria Formica, Eugeny Ostrovsky, L. Sirota

Open full text 0 citations

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.

Open-access reader

About this research paper

What this paper is about

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.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available 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.

Key concepts: Lp space, Mathematics, Singular integral operators of convolution type, Lebesgue's number lemma, Norm (philosophy), Pure mathematics, Lebesgue integration, Standard probability space

Related papers

Back to paper searchBrowse research topicsOriginal source
Norm estimates in Grand Lebesgue Spaces for some operators, including magic square matrices — Research Paper | ScholarLens