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

2023/08/15 by Maria Rosaria Formica, Formica, Maria Rosaria, Eugeny Ostrovsky +3
Mathematics · #Approximation Theory and Sequence Spaces #Mathematical Analysis and Transform Methods #Advanced Harmonic Analysis Research

paper · pdf · doi:10.48550/arxiv.2308.08068

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.

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