Optimal domains for \(L^{0}\)-valued operators via stochastic measures

DOI10.1007/s11117-007-2071-0zbMath1148.46026OpenAlexW2090791607MaRDI QIDQ2454884

Guillermo P. Curbera, Olvido Delgado

Publication date: 22 October 2007

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-007-2071-0

zbMATH Keywords

latticeskernel operatorsoptimal domainsspace of measurable functionsF-spaces

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) Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Linear operators on function spaces (general) (47B38) Vector-valued measures and integration (46G10)

Related Items (7)

Heat equation with general stochastic measure colored in time ⋮ Riemann integral of a random function and the parabolic equation with a general stochastic measure ⋮ Stochastic Partial Differential Equations Driven by General Stochastic Measures ⋮ \(L^{1}(\mu)\) for vector-valued measure \(\mu\) ⋮ Optimal extensions of Lipschitz maps on metric spaces of measurable functions ⋮ Extension and integral representation of the finite Hilbert transform in rearrangement invariant spaces ⋮ Integral equations with respect to a general stochastic measure

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Operators into \(L^ 1\) of a vector measure and applications to Banach lattices
• Domains of integral transformations on general measure spaces
• The dual space of \({\mathcal L}^ 1(\mu)\) for a vector measure \(\mu\)
• When \(L^ 1\) of a vector measure is an AL-space
• Optimal domains and integral representations of convolution operators in \(L^p(G)\)
• Compactness properties of extended Volterra operators in \(L^p([0,1)\) for \(1\leq p \leq \infty\)]
• Banach function subspaces of \(L^1\) of a vector measure and related Orlicz spaces
• Banach lattices with the Fatou property and optimal domains of kernel operators
• On general integral transformations
• Integration with respect to vector measures
• On integrability and summability in vector spaces
• Vector integration
• Sufficient condition for Pareto optimization in Banach spaces
• Weak Compactness and Vector Measures
• Compactness properties of Sobolev imbeddings for rearrangement invariant norms
• L 0 -Valued Vector Measures are Bounded
• Les mesures vectorielles à valeurs dans $\mathrm{L}^0$ sont bornées
• Bounded Multiplier Convergence in Measure of Random Vector Series
• Optimal domains for the kernel operator associated with Sobolev's inequality
• Banach Space Properties of L 1 of a Vector Measure
• Optimal domains for kernel operators on [0,∞)×[0,∞)
• On unconditional convergence in linear metric spaces

This page was built for publication: Optimal domains for \(L^{0}\)-valued operators via stochastic measures