On spaces of integrable functions associated to vector measures and limiting real interpolation

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Interpolation between normed linear spaces (46B70) Special classes of linear operators (47Bxx)

Cites Work

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The \(K\)-functional for \(p\)-convexifications
Complex interpolation of operators and optimal domains
Weighted Hardy inequalities, real interpolation methods and vector measures
Interpolation of vector measures
Real interpolation method on spaces of scalar integrable functions with respect to vector measures
Complex interpolation of spaces of integrable functions with respect to a vector measure
Equivalence of \(K\)- and \(J\)-methods for limiting real interpolation spaces
Real interpolation with logarithmic functors.
Interpolation with a parameter function of \(L^p\)-spaces with respect to a vector measure on a \(\delta\)-ring
Operators into \(L^ 1\) of a vector measure and applications to Banach lattices
Orlicz spaces associated to a quasi-Banach function space: applications to vector measures and interpolation
The Fatou property in \(p\)-convex Banach lattices
Optimal domain and integral extension of operators, acting in function spaces
On an extreme class of real interpolation spaces
Minimal and maximal methods of interpolation
Limiting \(J\)-spaces for general couples
Factorizing kernel operators
Some reiteration formulae for limiting real methods
A note on real interpolation of \(L^p\)-spaces of vector measures on \(\delta\)-rings
Complex interpolation of \(L^p\)-spaces of vector measures on \(\delta\)-rings
Description of logarithmic interpolation spaces by means of the \(J\)-functional and applications
Spaces of \(p\)-integrable functions with respect to a vector measure
Banach lattices with the Fatou property and optimal domains of kernel operators
Measure of Non-compactness of Operators Interpolated by Limiting Real Methods
Interpolation with a parameter function and integrable function spaces with respect to vector measures
Abstract limit J -spaces
Maximal Functions on Classical Lorentz Spaces and Hardy's Inequality with Weights for Nonincreasing Functions
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Interpolation with a parameter function.
Extrapolation Spaces and Almost-Everywhere Convergence of Singular Integrals
A function parameter in connection with interpolation of Banach spaces.
Interpolation of weighted Banach lattices. A characterization of relatively decomposable Banach lattices
Real Interpolation with Logarithmic Functors and Reiteration
Limiting real interpolation methods for arbitrary Banach couples
New limiting real interpolation methods and their connection with the methods associated to the unit square
Lorentz spaces of vector measures and real interpolation of operators
Interpolation between weighted Lorentz spaces with respect to a vector measure
Complex interpolation of Orlicz spaces with respect to a vector measure

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