Complex interpolation of operators and optimal domains

DOI10.1007/s00020-014-2158-5zbMath1316.46028OpenAlexW1976002670MaRDI QIDQ484783

Francisco Naranjo, Fernando Mayoral, Antonio Fernández, Orlando Galdames Bravo, Ricardo del Campo

Publication date: 7 January 2015

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-014-2158-5

zbMATH Keywords

vector measureBanach function spaceinterpolation spacesoptimal domainbidual concave operatorfactorable operator

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Banach lattices (46B42) Linear operators on function spaces (general) (47B38) Interpolation between normed linear spaces (46B70)

Related Items (3)

Optimal extensions for \(p\)th power factorable operators ⋮ Lorentz spaces of vector measures and real interpolation of operators ⋮ Unnamed Item

Cites Work

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• Interpolation of vector measures
• Optimal domain and integral extension of operators, acting in function spaces
• Spaces of \(p\)-integrable functions with respect to a vector measure
• Integration with respect to vector measures
• Optimal extension of the Hausdorff-Young inequality
• Intermediate spaces and interpolation, the complex method

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