Riesz means on homogeneous trees

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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Auteur principal: Papageorgiou Effie
Format: article
Langue:EN
Publié: De Gruyter 2021
Sujets:
homogeneous trees
riesz means
43a90
22e30
Mathematics
QA1-939
Accès en ligne:https://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

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