Timeline for What Morrey and Campanato space characterize
Current License: CC BY-SA 4.0
11 events
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| Dec 15, 2021 at 12:41 | comment | added | Wentao Hu | Would you mind me asking something not quite relevant to this question? By "a domain $\Omega$", do you mean a connected open set or just an open set? I have seen various usage of the term "domain" in PDE, and it in some cases refers to a connected open set, whereas in other cases refers to an open set, and it is usually the case that the authors are reluctant to explain in advance what they exactly mean by using this term. Similar ambiguity or even (to some extent) abusage seems not rare in PDE. How to you think we should deal with this situation? Thank you. | |
| May 12, 2019 at 20:01 | history | bounty ended | CommunityBot | ||
| May 4, 2019 at 20:31 | comment | added | Carlo Beenakker | are you sure of this embedding relation? theorem 0.0.12 (4) in these notes has a different inequality with a proof. | |
| May 4, 2019 at 19:49 | vote | accept | 89085731 | ||
| May 4, 2019 at 19:49 | comment | added | 89085731 | Thanks a lot. I am thinking the embedding $L^{p,\lambda}\subset L^{q,\mu}$ as long as $\frac{n-p}{\lambda}\leq \frac{n-q}{\mu}$ and $p>q$. Since we are considering the blow up of the function at the point compared with $r^{\lambda}$. why we need the condition $p>q$, because I think $\frac{n-p}{\lambda}\leq \frac{n-q}{\mu}$ is enough. | |
| May 4, 2019 at 19:41 | comment | added | Carlo Beenakker | I think I have fixed the link; somehow that site registers an unique ID for each download of the lecture notes. | |
| May 4, 2019 at 19:41 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
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| May 4, 2019 at 19:35 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
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| May 4, 2019 at 19:30 | comment | added | 89085731 | It seems that the link doesn't work | |
| May 4, 2019 at 19:28 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
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| May 4, 2019 at 19:21 | history | answered | Carlo Beenakker | CC BY-SA 4.0 |