An Optimal Interpolation Theorem of Marcinkiewicz Type in Orlicz Spaces
Copyright policy )An Optimal Interpolation Theorem of Marcinkiewicz Type in Orlicz Spaces
An extension of the Marcinkiewicz weak interpolation theorem for quasilinear operators to the case when the spaces generating the interpolation are Orlicz spaces is proved. The result requires some auxiliary functions \(E_{\Phi,\beta}(s)\), \(F_{\Phi,\beta}(s)\), \(G_{\Phi,\beta}(s)\) and \(H_{\Phi,\beta}(s)\) depending on an Orlicz function \(\Phi\) and is obtained by means of real methods.
- New York University Italy
- University of Florence Italy
Marcinkiewicz weak interpolation theorem, Orlicz function, Interpolation; Orlicz paces, quasilinear operators, Abstract interpolation of topological vector spaces, Completeness of sets of functions in one variable harmonic analysis, Applications of functional analysis to differential and integral equations, Orlicz spaces, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, Analysis, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
Marcinkiewicz weak interpolation theorem, Orlicz function, Interpolation; Orlicz paces, quasilinear operators, Abstract interpolation of topological vector spaces, Completeness of sets of functions in one variable harmonic analysis, Applications of functional analysis to differential and integral equations, Orlicz spaces, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, Analysis, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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