Lorentz spaces with variable exponents
Copyright policy )Lorentz spaces with variable exponents
We introduce Lorentz spaces and with variable exponents. We prove several basic properties of these spaces including embeddings and the identity . We also show that these spaces arise through real interpolation between and . Furthermore, we answer in a negative way the question posed in whether the Marcinkiewicz interpolation theorem holds in the frame of Lebesgue spaces with variable integrability.
- Technical University of Berlin Germany
- TU Bergakademie Freiberg Germany
- Technical University of Berlin Germany
- Friedrich Schiller University Jena Germany
Maximal functions, Littlewood-Paley theory, 46E30, 42B25, 46B70, Interpolation between normed linear spaces, variable exponents, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Functional Analysis (math.FA), weak-type spaces, real interpolation, Mathematics - Functional Analysis, Marcinkiewicz interpolation, Lorentz spaces, FOS: Mathematics, maximal operator, variable integrability
Maximal functions, Littlewood-Paley theory, 46E30, 42B25, 46B70, Interpolation between normed linear spaces, variable exponents, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Functional Analysis (math.FA), weak-type spaces, real interpolation, Mathematics - Functional Analysis, Marcinkiewicz interpolation, Lorentz spaces, FOS: Mathematics, maximal operator, variable integrability
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