Inégalités de Sobolev précisées
Inequalities and interpolation.
Some examples of the close interaction between inequalities and interpolation are presented and discussed. An interpolation technique to prove generalized Clarkson inequalities is pointed out. We also discuss and apply to the theory of interpolation the recently found facts that the Gustavsson-Peetre class P+- can be described by one Carlson type inequality and that the wider class P0 can be characterized by another Carlson type inequality with blocks.
Inequalities for Jacobians: interpolation techniques
Integral representations and transforms of -functions. I.
Integral representations and transforms of -functions. II.
Intermediate spaces and the complex method of interpolation for families of Banach spaces
Interpolation and bases
Interpolation between and
Interpolation between Hardy spaces on the bidisc
Interpolation between Hp spaces and non-commutative generalizations (II).
We continue an investigation started in a preceding paper. We discuss tha classical result of Carleson connecting Carleson measures with the ∂-equation in a slightly more abstract framework than usual. We also consider a more recent result of Peter Jones which shows the existence of a solution for the ∂-equation, which satisfies simultaneously a good L∞ estimate and a good L1 estimate. This appears as a special case of our main result which can be stated as follows:Let (Ω, A, μ) be any measure space....
Interpolation linéaire associée à un générateur de semi-groupe intégré
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 compact nonlinear operators.
Interpolation of compact operators by Goulaouic procedure
Interpolation of locally Hölder operators