Characterization of compact linear integral operators in the space of functions of bounded variation

DOI10.5186/aasfm.2021.4652zbMath1482.47088OpenAlexW3189868779MaRDI QIDQ4958738

Publication date: 15 September 2021

Published in: Annales Fennici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5186/aasfm.2021.4652

zbMATH Keywords

Volterra operator integral operator bounded variation compact linear operator weakly singular kernel convolution kernel space of functions of bounded variation Abel operator

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Integral operators (47G10) Functions of bounded variation, generalizations (26A45)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
On continuity and compactness of some nonlinear operators in the spaces of functions of bounded variation
On superposition operators in spaces of regular and of bounded variation functions
Nonautonomous superposition operators in the spaces of functions of bounded variation
On integral operators and nonlinear integral equations in the spaces of functions of bounded variation
The Banach spaces \(\varLambda BV\) are non-reflexive
Abel integral equations. Analysis and applications
On BV-solutions of some nonlinear integral equations
Multiplication operators on the spaces of functions of bounded \(p\)-variation in Wiener's sense
On multipliers between bounded variation spaces
Compactness of a class of Volterra operators
On the characterization of compactness in the space of functions of bounded variation in the sense of Jordan
Uniform continuity of nonautonomous superposition operators in \(\Lambda\)BV-spaces
Some remarks on multiplier spaces. II. BV-type spaces
Multiplication operators on the space of functions of bounded variation
On the continuity of superposition operators in the space of functions of bounded variation
On a generalized notion of convergence in a Banach space
On an integral operator in the space of functions with bounded variation. II.
An Introduction to Banach Space Theory
Kurzweil–Stieltjes Integral
Bounded Variation and Around
On an integral operator in the space of functions with bounded variation

This page was built for publication: Characterization of compact linear integral operators in the space of functions of bounded variation