Endpoint estimates from restricted rearrangement inequalities.
Erratum : Notes on interpolation of Hardy spaces
An error in the paper named in the title ibid., 42-4 (1992)875-889 is corrected.
Estimates in Sobolev norms for harmonic and holomorphic functions and interpolation between Sobolev and Hölder spaces of harmonic functions
Estimation of the position of intermediate spaces for a Banach couple
The position of intermediate spaces for a Banach couple is estimated with the help of its fundamental function and co-function. We study the completeness of the collection of all such functions, and the methods of calculating and estimating them for different couples. Finally, these functions are used to compare the position of spaces obtained under the action of some interpolation functors.
Exact -monotonicity of one class of Banach pairs.
Extrapolation and sharp norm estimates for classical operators on weighted Lebesgue spaces.
Extrapolation functors on a family of scales generated by the real interpolation method.
Extrapolation of Sobolev imbeddings.
We survey recent results on limiting imbeddings [sic] of Sobolev spaces, particularly, those concerning weakening of assumptions on integrability of derivatives, considering spaces with dominating mixed derivatives and the case of weighted spaces.
Extrapolation theorem on Lp spaces over infinite measure space: An approach p → p0.
Extrapolation theory for the real interpolation method.
We develop an abstract extrapolation theory for the real interpolation method that covers and improves the most recent versions of the celebrated theorems of Yano and Zygmund. As a consequence of our method, we give new endpoint estimates of the embedding Sobolev theorem for an arbitrary domain Omega.
Extrapolatory description for the Lorentz and Marcinkiewicz spaces “close" to .
Factoring weakly compact homomorphisms, interpolation of Banach algebras and multilinear interpolation
We review several results on interpolation of Banach algebras and factorization of weakly compact homomorphisms. We also establish a new result on interpolation of multilinear operators.
First order interpolation inequalities with weights
Fourier--Rademacher coefficients of functions in rearrangement-invariant spaces.
Fréchet interpolation spaces and Grothendieck operator ideals.
Starting with a continuous injection I: X → Y between Banach spaces, we are interested in the Fréchet (non Banach) space obtained as the reduced projective limit of the real interpolation spaces. We study relationships among the pertenence of I to an operator ideal and the pertenence of the given interpolation space to the Grothendieck class generated by that ideal.
Fredholmspektren verbundener Operatoren.
Function Spaces of Sobolev Type on Riemannian Symmetric Manifolds.
Function spaces related to continuous negative definite functions: ψ-Bessel potential spaces [Book]
Generalized Fock spaces, interpolation, multipliers, circle geometry.
By a (generalized) Fock space we understand a Hilbert space of entire analytic functions in the complex plane C which are square integrable with respect to a weight of the type e-Q(z), where Q(z) is a quadratic form such that tr Q > 0. Each such space is in a natural way associated with an (oriented) circle C in C. We consider the problem of interpolation between two Fock spaces. If C0 and C1 are the corresponding circles, one is led to consider the pencil of circles generated by C0 and C1....
Generalized invariant subspaces for linear operators