Inequalities for ratios of functionals of harmonic functions
We show that the ratios (A(u)/N(u))(k)A(u) and (N(u)/A(u))(k)N(u) have L(p) norms equivalent with the H(p) norm of u. Here A(u) is the Lusin area integral and N(u) is the nontangential maximal function.
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| Udgivet i: | Proc Natl Acad Sci U S A |
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| Principais autores: | , , , |
| Format: | Artigo |
| Sprog: | Inglês |
| Udgivet: |
National Academy of Sciences
1982
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| Fag: | |
| Online adgang: | https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC347473/ https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16593265/ https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.79.24.7958 |
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