Generalized Grand Lebesgue Spaces norm estimations for some operators

2022/12/17 by Formica, M. R., Ostrovsky, E., Sirota, L.
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2212.08937

Abstract

We study moment rearrangement invariant spaces, which contain as particular cases the generalized Grand Lebesgue Spaces, and provide norm estimates for some operators, not necessarily linear, acting between some measurable rearrangement invariant spaces. The estimations are formulated in the terms of fundamental functions for these spaces.

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