Timeline for Sequence of subharmonic functions on shrinking domains
Current License: CC BY-SA 3.0
10 events
when toggle format | what | by | license | comment | |
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Mar 31, 2016 at 19:20 | comment | added | Higgs-Boson | thanks a lot for all of your answers. I know the point in this question. | |
Mar 31, 2016 at 15:18 | comment | added | Christian Remling | @AlexandreEremenko: Well, I tried it with a Poisson kernel first (which fits my description better), but that's too singular after squaring, so switched to a logarithm then... :) | |
Mar 31, 2016 at 2:39 | comment | added | Alexandre Eremenko | Sure. BTW the description in your comment better describes the example in my answer:-) | |
Mar 31, 2016 at 2:35 | comment | added | Christian Remling | @AlexandreEremenko: Yes, but I think what I do is natural, too: solve the Dirchlet problem on a thin rectangle with a boundary value that is large only on a small portion of the boundary and check if the area average of $u^2$ can stay bounded. | |
Mar 31, 2016 at 2:30 | comment | added | Alexandre Eremenko | An easy way to see that his inequality cannot be correct is just by scaling: if you multiply all his functions on constants, sup norms multiply on the same constants, but the integral of the square on the square of the constant. | |
Mar 30, 2016 at 23:14 | history | undeleted | Christian Remling | ||
Mar 30, 2016 at 23:14 | history | edited | Christian Remling | CC BY-SA 3.0 |
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Mar 30, 2016 at 22:02 | history | edited | Christian Remling | CC BY-SA 3.0 |
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Mar 30, 2016 at 20:28 | history | deleted | Christian Remling | via Vote | |
Mar 30, 2016 at 20:27 | history | answered | Christian Remling | CC BY-SA 3.0 |