Boundedness of Marcinkiewicz integrals with rough kernels on Musielak-Orlicz Hardy spaces

Let [Formula: see text] satisfy that [Formula: see text] , for any given [Formula: see text] , is an Orlicz function and [Formula: see text] is a Muckenhoupt [Formula: see text] weight uniformly in [Formula: see text] . The Musielak-Orlicz Hardy space [Formula: see text] is defined to be the set of...

Descripción completa

Detalles Bibliográficos
Autores principales: Li, Bo, Liao, Minfeng, Li, Baode
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5605692/
https://www.ncbi.nlm.nih.gov/pubmed/28989256
http://dx.doi.org/10.1186/s13660-017-1501-1
_version_ 1783265033365487616
author Li, Bo
Liao, Minfeng
Li, Baode
author_facet Li, Bo
Liao, Minfeng
Li, Baode
author_sort Li, Bo
collection PubMed
description Let [Formula: see text] satisfy that [Formula: see text] , for any given [Formula: see text] , is an Orlicz function and [Formula: see text] is a Muckenhoupt [Formula: see text] weight uniformly in [Formula: see text] . The Musielak-Orlicz Hardy space [Formula: see text] is defined to be the set of all tempered distributions such that their grand maximal functions belong to the Musielak-Orlicz space [Formula: see text] . In this paper, the authors establish the boundedness of Marcinkiewicz integral [Formula: see text] from [Formula: see text] to [Formula: see text] under weaker smoothness conditions assumed on Ω. This result is also new even when [Formula: see text] for all [Formula: see text] , where ϕ is an Orlicz function.
format Online
Article
Text
id pubmed-5605692
institution National Center for Biotechnology Information
language English
publishDate 2017
publisher Springer International Publishing
record_format MEDLINE/PubMed
spelling pubmed-56056922017-10-04 Boundedness of Marcinkiewicz integrals with rough kernels on Musielak-Orlicz Hardy spaces Li, Bo Liao, Minfeng Li, Baode J Inequal Appl Research Let [Formula: see text] satisfy that [Formula: see text] , for any given [Formula: see text] , is an Orlicz function and [Formula: see text] is a Muckenhoupt [Formula: see text] weight uniformly in [Formula: see text] . The Musielak-Orlicz Hardy space [Formula: see text] is defined to be the set of all tempered distributions such that their grand maximal functions belong to the Musielak-Orlicz space [Formula: see text] . In this paper, the authors establish the boundedness of Marcinkiewicz integral [Formula: see text] from [Formula: see text] to [Formula: see text] under weaker smoothness conditions assumed on Ω. This result is also new even when [Formula: see text] for all [Formula: see text] , where ϕ is an Orlicz function. Springer International Publishing 2017-09-19 2017 /pmc/articles/PMC5605692/ /pubmed/28989256 http://dx.doi.org/10.1186/s13660-017-1501-1 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Li, Bo
Liao, Minfeng
Li, Baode
Boundedness of Marcinkiewicz integrals with rough kernels on Musielak-Orlicz Hardy spaces
title Boundedness of Marcinkiewicz integrals with rough kernels on Musielak-Orlicz Hardy spaces
title_full Boundedness of Marcinkiewicz integrals with rough kernels on Musielak-Orlicz Hardy spaces
title_fullStr Boundedness of Marcinkiewicz integrals with rough kernels on Musielak-Orlicz Hardy spaces
title_full_unstemmed Boundedness of Marcinkiewicz integrals with rough kernels on Musielak-Orlicz Hardy spaces
title_short Boundedness of Marcinkiewicz integrals with rough kernels on Musielak-Orlicz Hardy spaces
title_sort boundedness of marcinkiewicz integrals with rough kernels on musielak-orlicz hardy spaces
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5605692/
https://www.ncbi.nlm.nih.gov/pubmed/28989256
http://dx.doi.org/10.1186/s13660-017-1501-1
work_keys_str_mv AT libo boundednessofmarcinkiewiczintegralswithroughkernelsonmusielakorliczhardyspaces
AT liaominfeng boundednessofmarcinkiewiczintegralswithroughkernelsonmusielakorliczhardyspaces
AT libaode boundednessofmarcinkiewiczintegralswithroughkernelsonmusielakorliczhardyspaces

Ejemplares similares