Timeline for Reference for Calderon-Zygmund $L^p$ inequalities on the sphere
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
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| S Nov 21, 2022 at 23:13 | history | bounty ended | Chris | ||
| S Nov 21, 2022 at 23:13 | history | notice removed | Chris | ||
| Nov 21, 2022 at 23:13 | vote | accept | Chris | ||
| Nov 21, 2022 at 7:43 | answer | added | Joel Fine | timeline score: 7 | |
| Nov 19, 2022 at 14:08 | comment | added | Scott Armstrong | I think you can find $\xi$ by taking $\xi = \nabla u + \nabla^\perp v$ where $\Delta u = f$ and $\Delta v = g$. So your question reduces to Calderon-Zygmund on the sphere, for the Laplacian. I don't know a reference off the top of my head, but I suppose one should exist. | |
| Nov 18, 2022 at 17:33 | history | edited | Chris | CC BY-SA 4.0 |
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| Nov 18, 2022 at 17:21 | history | edited | Chris | CC BY-SA 4.0 |
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| Nov 18, 2022 at 17:16 | comment | added | Chris | Sure, I'll add in these details. The source is Christodoulou and Klainerman's book on the Global Nonlinear Stability of Minkowski Space. | |
| Nov 18, 2022 at 0:36 | comment | added | Piotr Hajlasz | Can you provide more details? page 43 of what? I would like to see the source it could help answer the questions. What are $f,g,\xi$? What is the dimension of the sphere etc. I do not want to guess. I might know how to answer the question, but I would like to see a more detailed statement. | |
| S Nov 14, 2022 at 19:38 | history | bounty started | Chris | ||
| S Nov 14, 2022 at 19:38 | history | notice added | Chris | Draw attention | |
| Nov 9, 2022 at 20:40 | history | asked | Chris | CC BY-SA 4.0 |