Interpolation manifolds
Interpolation non linéaire
Interpolation of Banach spaces
Interpolation of bilinear operators between Banach function spaces.
Interpolation of Cesàro sequence and function spaces
The interpolation properties of Cesàro sequence and function spaces are investigated. It is shown that is an interpolation space between and for 1 < p₀ < p₁ ≤ ∞ and 1/p = (1 - θ)/p₀ + θ/p₁ with 0 < θ < 1, where I = [0,∞) or [0,1]. The same result is true for Cesàro sequence spaces. On the other hand, is not an interpolation space between Ces₁[0,1] and .
Interpolation of Marcinkiewicz spaces.
Interpolation of operations and Orlicz classes
Interpolation of Operators on Decreasing Functions.
Interpolation of operators when the extreme spaces are
Under some assumptions on the pair , we study equivalence between interpolation properties of linear operators and monotonicity conditions for a pair (Y,Z) of rearrangement invariant quasi-Banach spaces when the extreme spaces of the interpolation are . Weak and restricted weak intermediate spaces fall within our context. Applications to classical Lorentz and Lorentz-Orlicz spaces are given.
Interpolation of Orlicz spaces
Interpolation of Orlicz-valued function spaces and U.M.D. property
Interpolation of quasicontinuous functions
If C is a capacity on a measurable space, we prove that the restriction of the K-functional to quasicontinuous functions f ∈ QC is equivalent to . We apply this result to identify the interpolation space .
Interpolation of r-Banach spaces
Interpolation of Spectral Operators.
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