Throughout this note we will use the notation of [1], Chapter 4, which is devoted to the
complex interpolation methods as described by Calderön [2]. Our result supplements what is …

A basic issue in real interpolation theory is the relationship between the K and J methods of
interpolation as applied to compatible couples of Banach spaces or Banach couples A=(A …

Complex interpolation Page 1 COMPOSITIO MATHEMATICA MARTIN SCHECHTER
Complex interpolation Compositio Mathematica, tome 18, no 1-2 (1967), p. 117-147 <http://www.numdam.org/item?id=CM_1967__18_1-2_117_0> …

Reiteration theorems for real interpolation and approximation spaces Page 1 Reiteration
Theorems for Real Interpolation and Approximation Spaces (*). PEa NZLSSO~ (Lnnd, Svezia) …

(1)[[Ac Aj]^,[A0, AjJeJo-—[A0, AJ,, with equality of norms, where 60, and cr are in [0, 1] and
s=(1-< r) 0o+< r0i Calderon proved this formula ([2], 32.3) for the case when A0 n A1 is a …

We present “reiteration theorems” with limiting values θ= 0 and θ= 1 for a real interpolation
method involving broken-logarithmic functors. The resulting spaces lie outside of the original …

Since then, Question has been answered affirmatively in quite a number of other special
cases. For example, see [CwK],[CKS],[M] and [P]. The analogous question for the real …

The (Lions–Peetre) real interpolation spaces Āθ, q are defined by using the function norm
ϕ\left(ϕ\right)=(∫_0^∞\left(ϕ\right(t)/t^θ)^qdtt)^1/q. By replacing tθ by a more general …

The works of Jaak Peetre constitute the main body of this treatise. Important contributors are
also JL Lions and AP Calderon, not to mention several others. We, the present authors, have …

From (2) and (3) it does not yet follow that to every point group there exists a point xo and a
continuous function f (x) so that the sequence L"(f (xj) does not converge to f (xo), or what is …