Complex interpolation of \(L^p\)-spaces of vector measures on \(\delta\)-rings

DOI10.1016/j.jmaa.2013.04.013zbMath1306.46019OpenAlexW2040523440MaRDI QIDQ2257144

Fernando Mayoral, Antonio Fernández, Ricardo del Campo, Francisco Naranjo

Publication date: 24 February 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.04.013

zbMATH Keywords

vector measure\(\delta\)-ringintegrable functionlocally strongly additive measureCalderón interpolation methodsGustavsson-Peetre space

Mathematics Subject Classification ID

Interpolation between normed linear spaces (46B70)

Related Items (5)

Weighted Hardy inequalities, real interpolation methods and vector measures ⋮ Interpolation between weighted Lorentz spaces with respect to a vector measure ⋮ A note on real interpolation of \(L^p\)-spaces of vector measures on \(\delta\)-rings ⋮ Reflexivity of function spaces associated to a \(\sigma\)-finite vector measure ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Complex interpolation of spaces of integrable functions with respect to a vector measure
• Optimal domain and integral extension of operators, acting in function spaces
• Minimal and maximal methods of interpolation
• \(L^1\)-spaces of vector measures defined on \(\delta\)-rings
• The integration theory of Banach space valued measures and the Tonelli- Fubini theorems. I: Scalar-valued measures on \(\delta\)-rings
• The integration theory of Banach space valued measures and the Tonelli- Fubini theorems. II: Pettis integration
• Spaces of \(p\)-integrable functions with respect to a vector measure
• On integrability and summability in vector spaces
• Interpolation of Orlicz spaces
• Interpolation of weighted Banach lattices. A characterization of relatively decomposable Banach lattices
• Intermediate spaces and interpolation, the complex method
• Weak Compactness and Control Measures in the Space of Unbounded Measures

This page was built for publication: Complex interpolation of \(L^p\)-spaces of vector measures on \(\delta\)-rings