Interpolation of weak type spaces
Copyright policy )Interpolation of weak type spaces
The role of almost optimal decompositions in the construction of weak type spaces is studied. A result by Herz is shown to imply interpolation results for weak-type spaces; identities relating the derivatives of the K-functional and the E-functional are derived and, as a consequence, two known approaches to weak-type interpolation are shown to coincide; finally, the result of Herz is put in an abstract setting and related to certain inequalities between the K and J-functionals, fundamental in extrapolation theory.
- University of Mary United States
- DigiZeitschriften Germany
- Washington State University United States
- Florida Atlantic University United States
construction of weak type spaces, extrapolation theory, 510.mathematics, interpolation results for weak-type spaces, Abstract interpolation of topological vector spaces, J-functionals, optimal decompositions, K-functional, E-functional, Article, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
construction of weak type spaces, extrapolation theory, 510.mathematics, interpolation results for weak-type spaces, Abstract interpolation of topological vector spaces, J-functionals, optimal decompositions, K-functional, E-functional, Article, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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