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
countably additive vector measureanalytic function failing Fatou's theoremPettis integrable functions
Vector-valued set functions, measures and integrals (28B05) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05)
Related Items (2)
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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