On the pointwise multiplication in Besov and Lizorkin-Triebel spaces
type: Item
instance of: scholarly article
title: On the pointwise multiplication in Besov and Lizorkin-Triebel spaces
zbMATH Open document ID: 1124.46019
DOI: 10.1155/IJMMS/2006/76182
author: Douadi Drihem
author: Madani Moussai
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2007-06-14T00:00:00Z
full work available at URL: https://eudml.org/doc/53551
review text: Let \(A^s_{pq} (\mathbb R^n)\) with \(A\in \{B,F \}\) be the nowadays well-known two scales of function spaces on \(\mathbb R^n\) where \(s \in \mathbb R\), \(0<p,q \leq \infty\). The paper deals with embedding theorems of type \[ A^{s_1}_{p_1 q_1} (\mathbb R^n) \cdot A^{s_2}_{p_2 q_2} (\mathbb R^n) \hookrightarrow A^{s_3}_{p_3 q_3} (\mathbb R^n), \] where \(A\) may be independently \(B\) or \(F\), complementing existing assertions. Of interest are borderline cases not known so far.
reviewed by: Hans Triebel
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 42B35
zbMATH DE Number: 5164266
zbMATH Keywords: Besov spaces
zbMATH Keywords: Triebel-Lizorkin spaces
zbMATH Keywords: pointwise multipliers
MaRDI profile type: Publication
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OpenAlex ID: W1966196889
description: scientific article; zbMATH DE number 5164266