Maximal functions associated to smooth curves
Let t → γ(t), 0 ≤ t ≤ 1, be a smooth curve in IR(n). Define the maximal function [unk](f) by [unk](f)(x) = sup(0<h≤1) (1/h) ʃ(0)(h) ǀ f(x - γ(t))ǀ dt. We state conditions under which ∥[unk](f)∥(p) ≤ A(p) ∥f∥(p), for 1 < p ≤ ∞.
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| Pubblicato in: | Proc Natl Acad Sci U S A |
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| Autori principali: | , |
| Natura: | Artigo |
| Lingua: | Inglês |
| Pubblicazione: |
National Academy of Sciences
1976
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| Soggetti: | |
| Accesso online: | https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC431437/ https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16592370/ https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.73.12.4295 |
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