Timeline for Perhaps an application of Hardy's inequality
Current License: CC BY-SA 4.0
14 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 26, 2023 at 16:11 | vote | accept | user253963 | ||
| Jan 26, 2023 at 16:09 | history | edited | user253963 | CC BY-SA 4.0 |
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| Jan 26, 2023 at 15:49 | answer | added | Willie Wong | timeline score: 2 | |
| Jan 26, 2023 at 15:36 | comment | added | user253963 | The constant $C$ can depend on $\lambda$, but I don't want it to make the term $\lambda^{-p}$ disappear. For example, we can have $C= \lambda^{n}$, so $C\lambda^{-p}$ = $\lambda^{n-p}$, but that $n-p < 0$. | |
| Jan 26, 2023 at 15:29 | comment | added | user253963 | No, I want the inequality to be $\lambda^{-p}$. The constant $C$ cannot take this term. If $C=2\lambda^{-p}$, then in the inequality I would miss the term $\lambda^{-p}$. I don't want something like that to happen. | |
| Jan 26, 2023 at 15:21 | comment | added | user253963 | @WillieWong why is trivial when $C$ depend on $\lambda$? | |
| Jan 26, 2023 at 14:27 | answer | added | Iosif Pinelis | timeline score: 2 | |
| Jan 26, 2023 at 14:24 | comment | added | Willie Wong | @user253963: quantifiers are extremely important in analysis. If, for example, $C$ were to be allowed to depend on $k$, $\alpha$, $\lambda$, and $f$, then the statement is completely trivial. Probably we can infer that $C$ shouldn't depend on $f$ or $\lambda$. But should it be allowed to depend on $\alpha$ and $k$? You are the one asking the question, you should have some idea. | |
| Jan 26, 2023 at 14:15 | history | edited | user253963 | CC BY-SA 4.0 |
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| Jan 26, 2023 at 14:13 | comment | added | user253963 | @losif Pinelis I don't know! thank you | |
| Jan 26, 2023 at 14:10 | comment | added | Iosif Pinelis | What may be necessary? Again, on what is your "constant" $C$ allowed to depend? | |
| Jan 26, 2023 at 13:45 | comment | added | user253963 | I don't know, it may be necessary | |
| Jan 26, 2023 at 13:42 | comment | added | Iosif Pinelis | What is your "constant" $C$ allowed to depend on? | |
| Jan 26, 2023 at 12:02 | history | asked | user253963 | CC BY-SA 4.0 |