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: | |
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| Format: | article |
| Langue: | EN |
| Publié: |
De Gruyter
2021
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| Sujets: | |
| Accès en ligne: | https://doaj.org/article/419417f3a2bd4b30bfc711a86ff42cd0 |
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| Résumé: | 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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