Fernández Fernández, Francisco JavierFernández Tojo, Fernando AdriánVillanueva, Carlos2024-05-062024-05-062024Fernández, F.J., Tojo, F.A.F. & Villanueva, C. Compactness Criteria for Stieltjes Function Spaces and Applications. Results Math 79, 98 (2024)1422-6383http://hdl.handle.net/10347/33783In 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.engAtribución 4.0 Internacional© 2024 The Authors.http://creativecommons.org/licenses/by/4.0/Lebesgue–Stieltjes integralStieltjes derivativeAscoli–Arzelà theoremKolmogorov–Riesz compactness theoremjournal article10.1007/s00025-024-02132-41420-9012open access