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Timeline for Definition of Martin kernels

Current License: CC BY-SA 4.0

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Aug 28, 2023 at 18:45 history edited Michael Hardy CC BY-SA 4.0
fixing a typo that caused a minus sign to appear where a hyphen should be
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Dec 6, 2021 at 12:25 answer added Mateusz Kwaśnicki timeline score: 1
Dec 6, 2021 at 11:32 comment added T. Huynh Thank you very much for your comment! Actually, I need to show the existence of the joint limit $G^{\Omega}(x,y)d(y)^{1-2\alpha}$ as $(x,y) \to (x_0,z_0)$, therefore the limit with the reference point that I mentioned above is enough. Could you explain this a bit more? I have to admit that I am working in the field of classical PDEs and therefore I am not really familiar of the techniques using probabilistic approaches, like in your papers, as well as Bogdan's, Chen's, Vondráček's etc.
Dec 6, 2021 at 11:22 history edited T. Huynh CC BY-SA 4.0
added 10 characters in body
Dec 6, 2021 at 10:17 comment added Mateusz Kwaśnicki Are you sure you evaluate the limit as $x \to x_0$ with $x_0$ the same as the reference point for the definition of the Martin kernel? Anyway, the answer is likely "yes", this should follow in a rather straightforward way from some Harnack-type inequalities.
S Dec 6, 2021 at 9:32 review First questions
Dec 6, 2021 at 12:21
S Dec 6, 2021 at 9:32 history asked T. Huynh CC BY-SA 4.0