Compact operators and integral equations in the $\cal{HK}$ space

DOI10.21136/CMJ.2021.0447-20OpenAlexW3188510539MaRDI QIDQ5071605

Varayu Boonpogkrong

Publication date: 22 April 2022

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/cmj.2021.0447-20

zbMATH Keywords

integral equationcompact operatorcontrolled convergenceHenstock-Kurzweil integral

Mathematics Subject Classification ID

Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Denjoy and Perron integrals, other special integrals (26A39)

Cites Work

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• On the Alexiewicz topology of the Denjoy space
• The space of Denjoy-Perron integrable functions
• The closed graph theorem and the space of Henstock-Kurzweil integrable functions with the Alexiewicz norm
• Topology of the Denjoy space
• A new topology on the space of primitives of Henstock-Kurzweil integrable functions
• Topologizing the Denjoy space by measuring equiintegrability
• The topology of the space of Denjoy integrable functions
• Hyperbolicity in complex analysis
• Linear Fredholm Integral Equations and the Integral of Kurzweil
• Linear integral equations in the space of regulated functions
• Kurzweil–Stieltjes Integral
• On an integral operator in the space of functions with bounded variation
• The space of Denjoy-Dunford integrable functions is ultrabornological

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