Timeline for Examples of unbounded pseudo-differential operators in $L^{\infty}$
Current License: CC BY-SA 4.0
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| Sep 13, 2018 at 6:37 | comment | added | user94415 | This is true and answers the question... I should have seen it before! However a better question is the following: is there a more general class of pseudo-differential operators unbounded on $L^{\infty}$? | |
| Sep 12, 2018 at 18:07 | comment | added | Christian Remling | Can't you just take a smooth version of $\textrm{sgn}(\xi)$? The modification can of course be done by a compactly supported (in $\xi$) perturbation, so this will be bounded on $L^{\infty}$ and thus you still have a counterexample. | |
| Sep 12, 2018 at 14:47 | history | asked | user94415 | CC BY-SA 4.0 |