Towards an Effective Theory of Absolutely Continuous Measures

zbMATH Open1429.03215arXiv1503.04743MaRDI QIDQ5213555

Henry Towsner

Publication date: 3 February 2020

Abstract: We give a constructive, metastable formulation of a theorem about the exchange of limits for convergent sequence $L^1$ functions. A crucial tool is a one-dimensional version of Szemeredi's regularity lemma for $L^1$ functions.

Full work available at URL: https://arxiv.org/abs/1503.04743

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Constructive and recursive analysis (03F60) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20)

Related Items (3)

Complete Axiomatization of Discrete-Measure Almost-Everywhere Quantification ⋮ Absolute continuity at infinity and decomposition of finitely additive measures ⋮ The absolute continuity of elliptic measure revisited

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