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.

引用

页数：36

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