On the differentiation of integrals in measure spaces along filters

DOI10.1007/s12220-022-01050-7OpenAlexW4309194651MaRDI QIDQ2105908

Fausto Di Biase, Steven G. Krantz

Publication date: 8 December 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-022-01050-7

zbMATH Keywords

liftingsfiltersalmost everywhere convergencedifferentiation of integralsMoore-Smith sequences

Mathematics Subject Classification ID

Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Abstract differentiation theory, differentiation of set functions (28A15) Lifting theory (28A51)

Cites Work

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• Foundations of Fatou theory and a tribute to the work of E. M. Stein on boundary behavior of holomorphic functions
• Boundary approach filters for analytic functions
• On Nets and Filters.
• Filters and Equivalent Nets
• Liftings and the Property of Baire in Locally Compact Groups
• Zur Differentiation der Lebesgueschen Integrale
• Cluster Sets of Nets
• Ultrafilters and Compactification of Uniform Spaces
• Zur Äquivalenz von Moore‐Smith‐Folgen und Filtern
• Nets and Filters in Topology

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