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 |
| Summary: | 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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| ISSN: | 2299-3282 |