Orlicz spaces of integrable functions with respect to vector-valued measures

DOI10.1216/RMJ-2008-38-2-619zbMath1173.46026OpenAlexW2035219409MaRDI QIDQ1011022

Maria José Rivera

Publication date: 7 April 2009

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-2008-38-2-619

zbMATH Keywords

Orlicz spacesvector measures

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) Vector-valued measures and integration (46G10)

Related Items (2)

Köthe dual of Banach lattices generated by vector measures ⋮ Optimal extension of the Fourier transform and convolution operator on compact groups

Cites Work

• Banach function subspaces of \(L^1\) of a vector measure and related Orlicz spaces
• Ultraproducts in Banach space theory.
• Compactness arguments for spaces of \(p\)-integrable functions with respect to a vector measure and factorization of operators through Lebesgue-Bochner spaces
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