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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| Format: | Article |
| Language: | English |
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De Gruyter
2021-03-01
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| Series: | Concrete Operators |
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| Online Access: | https://doi.org/10.1515/conop-2020-0111 |
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Article |
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doaj-419417f3a2bd4b30bfc711a86ff42cd02021-09-22T06:13:05ZengDe GruyterConcrete Operators2299-32822021-03-0181606510.1515/conop-2020-0111Riesz means on homogeneous treesPapageorgiou Effie0Department of Mathematics, Aristotle University of Thessaloniki, Thessaloniki, 54.124, GreeceLet 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.https://doi.org/10.1515/conop-2020-0111homogeneous treesriesz means43a9022e30 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Papageorgiou Effie |
| spellingShingle |
Papageorgiou Effie Riesz means on homogeneous trees Concrete Operators homogeneous trees riesz means 43a90 22e30 |
| 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 |
| series |
Concrete Operators |
| issn |
2299-3282 |
| publishDate |
2021-03-01 |
| 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. |
| topic |
homogeneous trees riesz means 43a90 22e30 |
| url |
https://doi.org/10.1515/conop-2020-0111 |
| work_keys_str_mv |
AT papageorgioueffie rieszmeansonhomogeneoustrees |
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