Multiplication operators on vector measure Orlicz spaces

DOI10.1016/S0019-3577(09)80003-7zbMath1187.46022MaRDI QIDQ1042754

I. Ferrando, Fernando Galaz-Fontes

Publication date: 7 December 2009

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

vector measureOrlicz spacemultiplication 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) Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10)

Related Items (4)

When and where the Orlicz and Luxemburg (quasi-) norms are equivalent? ⋮ Fourier transform and convolutions on \(L^{p}\) of a vector measure on a compact Hausdorff abelian group ⋮ Complex interpolation of Orlicz spaces with respect to a vector measure ⋮ Convolution structures for an Orlicz space with respect to vector measures on a compact group

Cites Work

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• Operators into \(L^ 1\) of a vector measure and applications to Banach lattices
• Optimal domain and integral extension of operators, acting in function spaces
• Multiplication operators on spaces of integrable functions with respect to a vector measure
• Banach function subspaces of \(L^1\) of a vector measure and related Orlicz spaces
• Spaces of \(p\)-integrable functions with respect to a vector measure
• 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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