Compactness criteria for Stieltjes function spaces and applications

2022/11/14 by Francisco J. Fernández, Fernández, Francisco J., F. Adrián F. Tojo +3 · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #Analytic and geometric function theory #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2211.07279

Abstract

In this work we study some topological aspects of function spaces arising in Stieltjes differential calculus. Chief among them are compactness results related to the Ascoli-Arzelà and Kolmogorov-Riesz theorems, as well as their applications to Stieltjes-Sobolev spaces and decomposable functions.

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• On the approximation properties of Stieltjes polynomials

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