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arXiv · 2407.06830

Relation between asymptotic $L_p$-convergence and some classical modes of convergence

Nuno J. Alves·Giorgi G. Oniani
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Abstract

Asymptotic $L_p$-convergence, which resembles convergence in $L_p$, was introduced to address a question in diffusive relaxation. This note aims to compare asymptotic $L_p$-convergence with convergence in measure and in weak $L_p$ spaces. One of the results characterizes convergence in measure on finite measure spaces in terms of asymptotic $L_p$-convergence.

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Nuno J. Alves, Giorgi G. Oniani. 2024-07-09. Relation between asymptotic $L_p$-convergence and some classical modes of convergence. https://doi.org/10.14321/realanalexch.49.2.1720434606

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