General Reiteration Theorems for R and L Classes: Case of Right R-Spaces and Left L-Spaces

被引：6
|
作者：
Fernandez-Martinez, Pedro [1 ]
Signes, Teresa M. [1 ]
机构：
[1] Univ Murcia, Dept Matemat, Fac Matemat, Campus Espinardo, Espinardo 30071, Spain
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2022年 / 19卷 / 04期
基金：
英国工程与自然科学研究理事会;
关键词：
Real interpolation; K-functional; reiteration theorems; slowly varying functions; rearrangement invariant spaces; REAL INTERPOLATION; LIMITING INTERPOLATION; PARAMETER; GRAND;
D O I：
10.1007/s00009-022-02059-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Given E-0, E-1, E, F rearrangement invariant spaces, a, b, b(0), b(1) slowly varying functions and 0 <= theta(0) < theta(1) <= 1, we characterize the interpolation spaces (<(X)over bar>(theta)(0) (,b0,)(E0),(X) over bar (R)(theta 1)(,)(b1)(,)(E1)(,a,F))(theta,b,E) and ((X) over bar (L)(theta 0,)(b0)(,)(E0)(,a,F), (X) over bar (theta 1,)(b1)(,)(E1))(theta,b,E), for all possible values of theta is an element of [0,1]. Applications to interpolation identities for grand and small Lebesgue spaces, Gamma spaces and A and B-type spaces are given.
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页数：36
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