Interpolation non linéaire
Interpolation of Banach spaces
Interpolation of analytic families of operators
Interpolation of Banach lattices
Interpolation of Banach spaces, differential geometry and differential equations.
In recent years the study of interpolation of Banach spaces has seen some unexpected interactions with other fields. (...) In this paper I shall discuss some more interactions of interpolation theory with the rest of mathematics, beginning with some joint work with Coifman [CS]. Our basic idea was to look for the methods of interpolation that had interesting PDE's arising as examples.
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 compact nonlinear operators.
Interpolation of compact operators by Goulaouic procedure
Interpolation of function spaces and the convergence rate estimates for the finite difference method.
Interpolation of locally Hölder operators
Interpolation of Marcinkiewicz spaces.
Interpolation of multipliers of
Interpolation of nonlinear operators between families of Banach spaces.
Interpolation of operations and Orlicz classes
Interpolation of Operator Ideals with an Application to Eigenvalue Distribution Problems.
Interpolation of operators of weak type .
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