Compactness Criteria for Stieltjes Function Spaces and Applications

Thumbnail Image

Files

2024_RM_Fernandez_Compactness criteria.pdf (561.54 KB)
Identifiers
URI: http://hdl.handle.net/10347/33783
ISSN: 1422-6383
E-ISSN: 1420-9012
DOI: 10.1007/s00025-024-02132-4

Publication date

2024

Authors

Advisors

Tutors

Editors

Journal Title

Journal ISSN

Volume Title

Publisher

Springer
Birkhäuser Verlag
Metrics
Google Scholar
lacobus
Export

Research Projects

Organizational Units

Journal Issue

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.

Description

Keywords

Lebesgue–Stieltjes integral| Stieltjes derivative| Ascoli–Arzelà theorem| Kolmogorov–Riesz compactness theorem

Bibliographic citation

Fernández, F.J., Tojo, F.A.F. & Villanueva, C. Compactness Criteria for Stieltjes Function Spaces and Applications. Results Math 79, 98 (2024)

Relation

Has part

Has version

Is based on

Is part of

Is referenced by

Is version of

Requires

Sponsors

Funding were provided by Xunta de Galicia (Grant No. ED431C 2019/02), Spanish National Plan for Scientific and Technical Research and Innovation (Grant No. MTM2016-75140-P).

Rights

Atribución 4.0 Internacional
© 2024 The Authors.

Collections

Estatística, Análise Matemática e Optimización