Modular convergence theorems in fractional Musielak-Orlicz spaces
type: Item
instance of: scholarly article
title: Modular convergence theorems in fractional Musielak-Orlicz spaces
zbMATH Open document ID: 0790.41017
DOI: 10.4171/ZAA/519
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1994-04-12T00:00:00Z
review text: Summary: Here we study modular convergence in fractional Musielak-Orlicz spaces for sequences of moment type operators and convolution operators. To obtain the requested convergence properties we give some estimates for the involved operators, using a growth condition on the convex function \(\varphi\) generating the space \(L^{\varphi,\alpha}\). Then the convergence theorems are obtained using a density theorem of Musielak type. For the convolution operators we also consider the line group setting.
Mathematics Subject Classification ID: 41A36
Mathematics Subject Classification ID: 47A57
Mathematics Subject Classification ID: 41A65
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 549193
zbMATH Keywords: fractional Musielak-Orlicz spaces
zbMATH Keywords: convolution operators
author: Carlo Bardaro
author: Gianluca Vinti
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/zaa/519
OpenAlex ID: W2564928915
description: scientific article; zbMATH DE number 549193