On the equivalence between weak BMO and the space of derivatives of the Zygmund class

In this paper, we will discuss the space of functions of weak bounded mean oscillation. In particular, we will show that this space is the dual space of the special atom space, whose dual space was already known to be the space of derivative of functions (in the sense of distribution) belonging to t...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autor principal:	Kwessi Eddy
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	bmo derivative distributions zygmund class 42b05 42b30 30b50 30e20 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/d028385f579b40b2ace97f82da5054a4
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:d028385f579b40b2ace97f82da5054a4
record_format	dspace
spelling	oai:doaj.org-article:d028385f579b40b2ace97f82da5054a42021-12-05T14:10:45ZOn the equivalence between weak BMO and the space of derivatives of the Zygmund class2391-466110.1515/dema-2021-0013https://doaj.org/article/d028385f579b40b2ace97f82da5054a42021-05-01T00:00:00Zhttps://doi.org/10.1515/dema-2021-0013https://doaj.org/toc/2391-4661In this paper, we will discuss the space of functions of weak bounded mean oscillation. In particular, we will show that this space is the dual space of the special atom space, whose dual space was already known to be the space of derivative of functions (in the sense of distribution) belonging to the Zygmund class of functions. We show, in particular, that this proves that the Hardy space H1{H}^{1} strictly contains the special atom space.Kwessi EddyDe Gruyterarticlebmoderivativedistributionszygmund class42b0542b3030b5030e20MathematicsQA1-939ENDemonstratio Mathematica, Vol 54, Iss 1, Pp 140-150 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	bmo derivative distributions zygmund class 42b05 42b30 30b50 30e20 Mathematics QA1-939
spellingShingle	bmo derivative distributions zygmund class 42b05 42b30 30b50 30e20 Mathematics QA1-939 Kwessi Eddy On the equivalence between weak BMO and the space of derivatives of the Zygmund class
description	In this paper, we will discuss the space of functions of weak bounded mean oscillation. In particular, we will show that this space is the dual space of the special atom space, whose dual space was already known to be the space of derivative of functions (in the sense of distribution) belonging to the Zygmund class of functions. We show, in particular, that this proves that the Hardy space H1{H}^{1} strictly contains the special atom space.
format	article
author	Kwessi Eddy
author_facet	Kwessi Eddy
author_sort	Kwessi Eddy
title	On the equivalence between weak BMO and the space of derivatives of the Zygmund class
title_short	On the equivalence between weak BMO and the space of derivatives of the Zygmund class
title_full	On the equivalence between weak BMO and the space of derivatives of the Zygmund class
title_fullStr	On the equivalence between weak BMO and the space of derivatives of the Zygmund class
title_full_unstemmed	On the equivalence between weak BMO and the space of derivatives of the Zygmund class
title_sort	on the equivalence between weak bmo and the space of derivatives of the zygmund class
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/d028385f579b40b2ace97f82da5054a4
work_keys_str_mv	AT kwessieddy ontheequivalencebetweenweakbmoandthespaceofderivativesofthezygmundclass
_version_	1718371770768031744

On the equivalence between weak BMO and the space of derivatives of the Zygmund class

Ejemplares similares