Interpolation of sublinear operators on generalized Orlicz and Hardy-Orlicz spaces
Interpolation of Weak Type Spaces.
Interpolation of weighted -spaces
Interpolation on families of characteristic functions
We study a problem of interpolating a linear operator which is bounded on some family of characteristic functions. A new example is given of a Banach couple of function spaces for which such interpolation is possible. This couple is of the form where B is an arbitrary Banach lattice of measurable functions on a σ-finite nonatomic measure space (Ω,Σ,μ). We also give an equivalent expression for the norm of a function ⨍ in the real interpolation space in terms of the characteristic functions of...
Interpolation properties of a scale of spaces.
A scale of function spaces is considered which proved to be of considerable importance in analysis. Interpolation properties of these spaces are studied by means of the real interpolation method. The main result consists in demonstrating that this scale is interpolated in a way different from that for Lp spaces, namely, the interpolation space is not from this scale.
Interpolation spaces
Interpolation theorems for operators relatively bounded by differential-type transformations.
Interpolation theorems for rearrangement invariant -spaces of functions, , and some applications
Interpolation with a parameter function.
Intersections and algebraic sums of Musielak-Orlicz spaces
Invariant distances and invariant differential metrics in locally convex spaces
Invertible composition operators on Banach function spaces
Investigating the ANR-property of metric spaces
Irregular amalgams.
Isometric classification of norms in rearrangement-invariant function spaces
Suppose that a real nonatomic function space on is equipped with two rearrangement-invariant norms and . We study the question whether or not the fact that is isometric to implies that for all in . We show that in strictly monotone Orlicz and Lorentz spaces this is equivalent to asking whether or not the norms are defined by equal Orlicz functions, respĿorentz weights. We show that the above implication holds true in most rearrangement-invariant spaces, but we also identify a class...
Isometric stability property of Banach spaces.
Isometries of a function space.
Isometries of Musielak-Orlicz spaces II
A characterization of isometries of complex Musielak-Orlicz spaces is given. If is not a Hilbert space and is a surjective isometry, then there exist a regular set isomorphism τ from (T,Σ,μ) onto itself and a measurable function w such that U(f) = w ·(f ∘ τ) for all . Isometries of real Nakano spaces, a particular case of Musielak-Orlicz spaces, are also studied.
Isometries of Orlicz Spaces of Vector Valued Functions.
Isométries positives et propriétés ergodiques de quelques espaces de Banach