Compactness criteria for Stieltjes function spaces and applications

Published 14 Nov 2022 in math.FA | (2211.07279v1)

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-Arzel`a and Kolmogorov-Riesz theorems, as well as their applications to Stieltjes-Sobolev spaces and decomposable functions.

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