Timeline for Division of Distributions by Polynomials
Current License: CC BY-SA 3.0
18 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 12, 2017 at 10:35 | vote | accept | Maurizio Barbato | ||
| Feb 9, 2017 at 15:02 | vote | accept | Maurizio Barbato | ||
| Feb 21, 2017 at 11:19 | |||||
| Feb 9, 2017 at 14:00 | comment | added | ifw | Estimate (#) is implicitly contained in Hörmander's paper. Either it follows from his basic estimate (4.3) by localizing those to bounded subsets of $\mathbb R^n$ or it can be proven from scratch retracing Hörmander's steps. | |
| Feb 9, 2017 at 13:55 | comment | added | ifw | As for (#): $f$ is pointwise estimated in terms of $Pf$ at places where $P\neq0$. On approach of $P^{-1}(0)$, the constant in this estimate explodes, however, its blowup is controlled by higher-order derivatives of $Pf$. How many derivatives are actually needed depends on the degeneration of $P$. The above example is meant to illustrate that point. For the technicalities, see Hörmander's paper. | |
| Feb 8, 2017 at 16:21 | history | edited | ifw | CC BY-SA 3.0 |
Further explanations added
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| Feb 7, 2017 at 22:00 | vote | accept | Maurizio Barbato | ||
| Feb 9, 2017 at 9:13 | |||||
| Feb 7, 2017 at 10:00 | history | edited | ifw | CC BY-SA 3.0 |
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| Feb 6, 2017 at 7:24 | history | edited | ifw | CC BY-SA 3.0 |
Further explanations added
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| Feb 5, 2017 at 10:45 | review | Suggested edits | |||
| Feb 5, 2017 at 10:52 | |||||
| Feb 1, 2017 at 10:02 | vote | accept | Maurizio Barbato | ||
| Feb 3, 2017 at 15:29 | |||||
| Jan 31, 2017 at 9:54 | history | edited | ifw | CC BY-SA 3.0 |
Outline of a proof of the last statement
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| Jan 31, 2017 at 9:09 | comment | added | Jochen Wengenroth | The condition in Ptak's theorem you mention is quite complicated. Are you sure that it easily applies here? | |
| Jan 30, 2017 at 23:16 | history | edited | ifw | CC BY-SA 3.0 |
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| Jan 30, 2017 at 22:29 | history | edited | ifw | CC BY-SA 3.0 |
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| Jan 30, 2017 at 19:41 | history | edited | ifw | CC BY-SA 3.0 |
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| Jan 30, 2017 at 13:28 | history | edited | ifw | CC BY-SA 3.0 |
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| Jan 30, 2017 at 10:57 | history | edited | ifw | CC BY-SA 3.0 |
Answer rewritten following the discussion in the comments
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| Jan 29, 2017 at 16:08 | history | answered | ifw | CC BY-SA 3.0 |