Variable Anisotropic Hardy Spaces with Variable Exponents

Let p(·) : ℝn → (0, ∞] be a variable exponent function satisfying the globally log-Hölder continuous and let Θ be a continuous multi-level ellipsoid cover of ℝn introduced by Dekel et al. [12]. In this article, we introduce highly geometric Hardy spaces Hp(·)(Θ) via the radial grand maximal function...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Yang Zhenzhen, Yang Yajuan, Sun Jiawei, Li Baode
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	hardy space continuous ellipsoid cover maximal function atomic decomposition singular integral operator 42b35 42b30 42b25 42b20 Analysis QA299.6-433
Acceso en línea:	https://doaj.org/article/2d6d0498e3624958b869f2cd2228893a
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:2d6d0498e3624958b869f2cd2228893a
record_format	dspace
spelling	oai:doaj.org-article:2d6d0498e3624958b869f2cd2228893a2021-12-05T14:10:38ZVariable Anisotropic Hardy Spaces with Variable Exponents2299-327410.1515/agms-2020-0124https://doaj.org/article/2d6d0498e3624958b869f2cd2228893a2021-07-01T00:00:00Zhttps://doi.org/10.1515/agms-2020-0124https://doaj.org/toc/2299-3274Let p(·) : ℝn → (0, ∞] be a variable exponent function satisfying the globally log-Hölder continuous and let Θ be a continuous multi-level ellipsoid cover of ℝn introduced by Dekel et al. [12]. In this article, we introduce highly geometric Hardy spaces Hp(·)(Θ) via the radial grand maximal function and then obtain its atomic decomposition, which generalizes that of Hardy spaces Hp(Θ) on ℝn with pointwise variable anisotropy of Dekel et al. [16] and variable anisotropic Hardy spaces of Liu et al. [24]. As an application, we establish the boundedness of variable anisotropic singular integral operators from Hp(·)(Θ) to Lp(·)(ℝn) in general and from Hp(·)(Θ) to itself under the moment condition, which generalizes the previous work of Bownik et al. [6] on Hp(Θ).Yang ZhenzhenYang YajuanSun JiaweiLi BaodeDe Gruyterarticlehardy spacecontinuous ellipsoid covermaximal functionatomic decompositionsingular integral operator42b3542b3042b2542b20AnalysisQA299.6-433ENAnalysis and Geometry in Metric Spaces, Vol 9, Iss 1, Pp 65-89 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	hardy space continuous ellipsoid cover maximal function atomic decomposition singular integral operator 42b35 42b30 42b25 42b20 Analysis QA299.6-433
spellingShingle	hardy space continuous ellipsoid cover maximal function atomic decomposition singular integral operator 42b35 42b30 42b25 42b20 Analysis QA299.6-433 Yang Zhenzhen Yang Yajuan Sun Jiawei Li Baode Variable Anisotropic Hardy Spaces with Variable Exponents
description	Let p(·) : ℝn → (0, ∞] be a variable exponent function satisfying the globally log-Hölder continuous and let Θ be a continuous multi-level ellipsoid cover of ℝn introduced by Dekel et al. [12]. In this article, we introduce highly geometric Hardy spaces Hp(·)(Θ) via the radial grand maximal function and then obtain its atomic decomposition, which generalizes that of Hardy spaces Hp(Θ) on ℝn with pointwise variable anisotropy of Dekel et al. [16] and variable anisotropic Hardy spaces of Liu et al. [24]. As an application, we establish the boundedness of variable anisotropic singular integral operators from Hp(·)(Θ) to Lp(·)(ℝn) in general and from Hp(·)(Θ) to itself under the moment condition, which generalizes the previous work of Bownik et al. [6] on Hp(Θ).
format	article
author	Yang Zhenzhen Yang Yajuan Sun Jiawei Li Baode
author_facet	Yang Zhenzhen Yang Yajuan Sun Jiawei Li Baode
author_sort	Yang Zhenzhen
title	Variable Anisotropic Hardy Spaces with Variable Exponents
title_short	Variable Anisotropic Hardy Spaces with Variable Exponents
title_full	Variable Anisotropic Hardy Spaces with Variable Exponents
title_fullStr	Variable Anisotropic Hardy Spaces with Variable Exponents
title_full_unstemmed	Variable Anisotropic Hardy Spaces with Variable Exponents
title_sort	variable anisotropic hardy spaces with variable exponents
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/2d6d0498e3624958b869f2cd2228893a
work_keys_str_mv	AT yangzhenzhen variableanisotropichardyspaceswithvariableexponents AT yangyajuan variableanisotropichardyspaceswithvariableexponents AT sunjiawei variableanisotropichardyspaceswithvariableexponents AT libaode variableanisotropichardyspaceswithvariableexponents
_version_	1718371889071521792

Variable Anisotropic Hardy Spaces with Variable Exponents

Ejemplares similares