On Fourier multipliers between Besov spaces with \(0<p_0\leq \text{min}\{1,p_1\}\)
type: Item
instance of: scholarly article
title: On Fourier multipliers between Besov spaces with \(0<p_0\leq \text{min}\{1,p_1\}\)
zbMATH Open document ID: 0906.42007
DOI: 10.1007/BF01904968
author: Peter Dintelmann
published in: Analysis Mathematica
publication date: 1999-01-25T00:00:00Z
review text: By means of the discrete characterization of these spaces similar to the \(\varphi\)-transform of Frazier and Jawerth, the author characterized the Fourier multipliers between the anisotropic inhomogeneous Besov spaces \(B^{s_0}_{p_0,q_0}\) and \(B^{s_1}_{p_1,q_1}\) with \(0<p_0\leq\min\{1,p_1\},\) \(0<p_1<\infty,\) \(s_0, s_1\in R\) and \(0<q_0, q_1\leq\infty.\)
Mathematics Subject Classification ID: 42B15
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 46E39
zbMATH DE Number: 926373
zbMATH Keywords: Fourier multiplier
zbMATH Keywords: inhomogeneous Besov space
zbMATH Keywords: anisotropic space
zbMATH Keywords: discrete characterization
reviewed by: Dachun Yang
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01904968
OpenAlex ID: W379660330
description: scientific article; zbMATH DE number 926373