Interpolation between some Banach spaces in generalized harmonic analysis
type: Item
instance of: scholarly article
title: Interpolation between some Banach spaces in generalized harmonic analysis
zbMATH Open document ID: 0753.46038
author: Katsuo Matsuoka
published in: Tokyo Journal of Mathematics
publication date: 1992-06-25T00:00:00Z
review text: L'auteur établit un théorème d'interpolation complexe relatif aux espaces: \[ A^ p(\mathbb{R}^ N)=\{f\mid\;\| f\|=\text{Inf}_ \omega (\int_{\mathbb{R}^ N}| f(x)|^ p\omega(x)^{- p+1}dx)^{1/p}\}, \] \(\omega\) positive radiale décroissante avec \(\omega(0)+\int_{\mathbb{R}^ N}\omega(x)dx=1\): alors \((A^{p_ 0},A^{p_ 1})_{[\theta]}=(A^{p_ 0},A^{p_ 1})^{[\theta]}=A^ p\) avec \(1<p_ 0,\;p_ 1<+\infty\), \(0<\theta<1\), \({1\over p}={1-\theta \over p_ o}+{\theta \over p_ 1}\) (resp. espaces \(B^ p\)).
Mathematics Subject Classification ID: 46M35
Mathematics Subject Classification ID: 46B70
Mathematics Subject Classification ID: 43A99
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 7240
zbMATH Keywords: generalized harmonic analysis
zbMATH Keywords: complex interpolation
reviewed by: Marie-Therese Lacroix
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3836/tjm/1270133007
OpenAlex ID: W2082156439
DOI: 10.3836/TJM/1270133007
description: scientific article; zbMATH DE number 7240