Riesz means on homogeneous trees

Let 𝕋 be a homogeneous tree. We prove that if f ∈ Lp(𝕋), 1 ≤ p ≤ 2, then the Riesz means SzR (f) converge to f everywhere as R → ∞, whenever Re z > 0.

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Autor principal:	Papageorgiou Effie
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	homogeneous trees riesz means 43a90 22e30 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/419417f3a2bd4b30bfc711a86ff42cd0
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id	oai:doaj.org-article:419417f3a2bd4b30bfc711a86ff42cd0
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spelling	oai:doaj.org-article:419417f3a2bd4b30bfc711a86ff42cd02021-12-05T14:10:45ZRiesz means on homogeneous trees2299-328210.1515/conop-2020-0111https://doaj.org/article/419417f3a2bd4b30bfc711a86ff42cd02021-03-01T00:00:00Zhttps://doi.org/10.1515/conop-2020-0111https://doaj.org/toc/2299-3282Let 𝕋 be a homogeneous tree. We prove that if f ∈ Lp(𝕋), 1 ≤ p ≤ 2, then the Riesz means SzR (f) converge to f everywhere as R → ∞, whenever Re z > 0.Papageorgiou EffieDe Gruyterarticlehomogeneous treesriesz means43a9022e30MathematicsQA1-939ENConcrete Operators, Vol 8, Iss 1, Pp 60-65 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	homogeneous trees riesz means 43a90 22e30 Mathematics QA1-939
spellingShingle	homogeneous trees riesz means 43a90 22e30 Mathematics QA1-939 Papageorgiou Effie Riesz means on homogeneous trees
description	Let 𝕋 be a homogeneous tree. We prove that if f ∈ Lp(𝕋), 1 ≤ p ≤ 2, then the Riesz means SzR (f) converge to f everywhere as R → ∞, whenever Re z > 0.
format	article
author	Papageorgiou Effie
author_facet	Papageorgiou Effie
author_sort	Papageorgiou Effie
title	Riesz means on homogeneous trees
title_short	Riesz means on homogeneous trees
title_full	Riesz means on homogeneous trees
title_fullStr	Riesz means on homogeneous trees
title_full_unstemmed	Riesz means on homogeneous trees
title_sort	riesz means on homogeneous trees
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/419417f3a2bd4b30bfc711a86ff42cd0
work_keys_str_mv	AT papageorgioueffie rieszmeansonhomogeneoustrees
_version_	1718371760510861312

Riesz means on homogeneous trees

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