We study the description by means of the J-functional of logarithmic interpolation spaces (A0, A1) 1, q, A in the category of the p-normed quasi-Banach couples (0 < p ≤ 1). When (A0, A1) is a Banach couple, it is known that the description changes depending on the relationship between q and A. In our more general setting, the parameter p also has an important role as the results show
AbstractInterpolation methods are introduced which have specific application in the function space s...
We study the behavior of the ball measure of non-compactness under several interpolation methods. Fi...
International audienceLet $0<p<q\leq\infty$ and $\alpha \in (0,\infty]$. We give a characterization ...
AbstractWe give embeddings theorems for some quasi-Banach spaces constructed from couples of certain...
AbstractWe describe a new approach to interpolate by the complex method quasi-Banach couples formed ...
We work with spaces (A0;A1)θ;q;A which are logarithmic perturbations of the real interpolation space...
Let (A0;A1) be a Banach couple, (B0;B1) a quasi-Banach couple, 0 B0 is bounded and T : A1 -> B1 is ...
AbstractWe consider limiting real interpolation spaces defined by using powers of iterated logarithm...
The problem of coincidence of the interpolation spaces obtained by use of the interpolation method o...
Abstract. We present “reiteration theorems ” with limiting values θ = 0 and θ = 1 for a real interpo...
The main aim of this paper is to develop a general approach, which allows to extend the basics of Br...
We first discuss the existing relations between the Boyd functions and the admissible sequences wit...
AbstractWe interpolate in the complex method some real-intermediate quasi-Banach spaces. This enable...
Given 0 < s ≤ 1 and ψ an s-convex function, s – ψ -sequence spaces are intr...
We derive interpolation formulae for the measure of non-compactness of operators interpolated by log...
AbstractInterpolation methods are introduced which have specific application in the function space s...
We study the behavior of the ball measure of non-compactness under several interpolation methods. Fi...
International audienceLet $0<p<q\leq\infty$ and $\alpha \in (0,\infty]$. We give a characterization ...
AbstractWe give embeddings theorems for some quasi-Banach spaces constructed from couples of certain...
AbstractWe describe a new approach to interpolate by the complex method quasi-Banach couples formed ...
We work with spaces (A0;A1)θ;q;A which are logarithmic perturbations of the real interpolation space...
Let (A0;A1) be a Banach couple, (B0;B1) a quasi-Banach couple, 0 B0 is bounded and T : A1 -> B1 is ...
AbstractWe consider limiting real interpolation spaces defined by using powers of iterated logarithm...
The problem of coincidence of the interpolation spaces obtained by use of the interpolation method o...
Abstract. We present “reiteration theorems ” with limiting values θ = 0 and θ = 1 for a real interpo...
The main aim of this paper is to develop a general approach, which allows to extend the basics of Br...
We first discuss the existing relations between the Boyd functions and the admissible sequences wit...
AbstractWe interpolate in the complex method some real-intermediate quasi-Banach spaces. This enable...
Given 0 < s ≤ 1 and ψ an s-convex function, s – ψ -sequence spaces are intr...
We derive interpolation formulae for the measure of non-compactness of operators interpolated by log...
AbstractInterpolation methods are introduced which have specific application in the function space s...
We study the behavior of the ball measure of non-compactness under several interpolation methods. Fi...
International audienceLet $0<p<q\leq\infty$ and $\alpha \in (0,\infty]$. We give a characterization ...