Timeline for Example when Kantorovich condition would not hold
Current License: CC BY-SA 4.0
15 events
| when toggle format | what | by | license | comment | |
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| S Oct 8, 2020 at 4:08 | history | bounty ended | CommunityBot | ||
| S Oct 8, 2020 at 4:08 | history | notice removed | CommunityBot | ||
| Sep 30, 2020 at 23:34 | vote | accept | user124297 | ||
| Sep 30, 2020 at 17:30 | answer | added | Martin Väth | timeline score: 2 | |
| S Sep 30, 2020 at 2:55 | history | bounty started | user124297 | ||
| S Sep 30, 2020 at 2:55 | history | notice added | user124297 | Canonical answer required | |
| Sep 30, 2020 at 2:52 | comment | added | user124297 | Yes, that is exactly what I meant. Thank you. My though was to represent $u_1, u_2$ as power weights functions. But still cannot figure it out. | |
| Sep 29, 2020 at 17:05 | comment | added | Martin Väth | You mean $\int K(x,y)^qd(x,y)<\infty$? For which $q$ and how is that dependent from $\Phi_k$ and $u_k$? Just to make clear what I mean: In case $\Phi_k(u)=|u|^{p_k}$ a simple sufficient criterion would be the finiteness of the mixed norm $\int\left(\int K(x,y)^{p_2'}dy\right)^{p_1}dx$ which is already rather different than the first criterion. | |
| Sep 29, 2020 at 1:38 | history | edited | user124297 | CC BY-SA 4.0 |
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| Sep 29, 2020 at 1:38 | comment | added | user124297 | Thank you for noticing my typo. It should integrable. As for kantorovich condition I have in mind condition that states that the $l_q$ norm of the kernel is finite. I have added this to the question. | |
| Sep 28, 2020 at 15:30 | history | edited | Ben McKay | CC BY-SA 4.0 |
edited title
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| Sep 27, 2020 at 21:35 | review | Close votes | |||
| Sep 30, 2020 at 2:56 | |||||
| Sep 27, 2020 at 21:03 | history | edited | user124297 | CC BY-SA 4.0 |
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| Sep 27, 2020 at 19:05 | comment | added | Martin Väth | Could you please define what you mean by "Kantorovich conditions"? There are numerous sufficient boundedness conditions for positive integral operators between weighted Orlicz spaces in literature (but no necessary and sufficient ones). Also the term "locally inferable" does not seem to be so standard to me. | |
| Sep 27, 2020 at 18:44 | history | asked | user124297 | CC BY-SA 4.0 |