Relation between asymptotic $L_p$-convergence and some classical modes of convergence
Classical Analysis and ODEs
2025-12-01 v2
Abstract
Asymptotic -convergence, which resembles convergence in , was introduced to address a question in diffusive relaxation. This note aims to compare asymptotic -convergence with convergence in measure and in weak spaces. One of the results characterizes convergence in measure on finite measure spaces in terms of asymptotic -convergence.
Cite
@article{arxiv.2407.06830,
title = {Relation between asymptotic $L_p$-convergence and some classical modes of convergence},
author = {Nuno J. Alves and Giorgi G. Oniani},
journal= {arXiv preprint arXiv:2407.06830},
year = {2025}
}