Maximal inequalities and Fourier multipliers for spaces with mixed quasinorms. Applications
type: Item
instance of: scholarly article
title: Maximal inequalities and Fourier multipliers for spaces with mixed quasinorms. Applications
zbMATH Open document ID: 0539.42006
DOI: 10.4171/ZAA/97
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1984-01-01T00:00:00Z
review text: The author proves maximal inequalities and Fourier multiplier theorems for various types of spaces with mixed quasinorms. The relations with Besov and Lizorkin-Triebel spaces and Sobolev spaces with dominating mixed derivatives in the sense of P. I. Lizorkin and S. M. Nikol'skij are under consideration. The investigations are connected to those of H. Triebel, T. I. Amanov, P. I. Lizorkin, S. M. Nikol'skij and others.
Mathematics Subject Classification ID: 42B15
Mathematics Subject Classification ID: 42B25
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 3857691
zbMATH Keywords: maximal inequalities
zbMATH Keywords: Fourier multiplier
zbMATH Keywords: mixed quasinorms
author: Hans-Jürgen Schmeißer
reviewed by: S. G. Samko
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/zaa/97
OpenAlex ID: W2564053344
description: scientific article; zbMATH DE number 3857691