Timeline for Is it possible that $\int |f^2(z)|^{t+1}(P\bar{P})\phi(z) dz=0$ for all compactly supported $\phi$?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Feb 4, 2021 at 13:16 | vote | accept | user2520938 | ||
| Feb 3, 2021 at 10:27 | comment | added | HYL | The heuristic that I followed while constructing this example is that, if what is inside the integral is the differential of something, then the integral vanishes when it applies to functions with compact support. The vanishing of (1) is maybe not common but under this heuristic, it doesn't seem that unlikely. | |
| Feb 2, 2021 at 16:36 | comment | added | user2520938 | Thanks, that's kind of amazing. Do you think some general heuristic/conjecture can be extracted from this example that would yield a criterion for when $P$ is "strange" in this sense? | |
| Feb 1, 2021 at 15:36 | history | edited | HYL | CC BY-SA 4.0 |
Answer completely rewritten taking user2520938's comment into account.
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| Feb 1, 2021 at 6:01 | history | edited | HYL | CC BY-SA 4.0 |
added 2 characters in body
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| Feb 1, 2021 at 3:07 | history | answered | HYL | CC BY-SA 4.0 |