The failure of Fatou's theorem on Poisson integrals of Pettis integrable functions

DOI10.1006/JFAN.1998.3338zbMath0922.28010OpenAlexW2041498809MaRDI QIDQ1276403

Francisco J. Freniche, Luis Rodríguez-Piazza, Juan Carlos García-Vázquez

Publication date: 18 May 1999

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/a0bed2f9cc49b2125f4057b9beda357943355a4a

zbMATH Keywords

countably additive vector measureanalytic function failing Fatou's theoremPettis integrable functions

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05)

Related Items (2)

On \(p\)-Dunford integrable functions with values in Banach spaces ⋮ Extension of Pettis integration: Pettis operators and their integrals

Cites Work

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• On the dual space of \(H^ p(X)\), \(1<p<\infty \)
• Boundary values of functions in vector-valued Hardy spaces and geometry on Banach spaces
• Hardy spaces of vector-valued functions
• On Complementation of Vector-Valued Hardy Spaces
• Pettis integral and measure theory
• Boundary values of vector-valued harmonic functions considered as operators
• Pettis Integrability
• NOWHERE WEAK DIFFERENTIABILITY OF THE PETTIS INTEGRAL

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