Norm estimates in Grand Lebesgue Spaces for some operators, including magic square matrices
Maria Rosaria Formica, Eugeny Ostrovsky, L. Sirota
Abstract
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Maria Rosaria Formica, Eugeny Ostrovsky, L. Sirota
Abstract
Open-access reader
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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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