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Homogenization by one-phase diffusion

✍ Scribed by L.-E. Larsson; B. Karlsson


Publisher
Elsevier Science
Year
1975
Weight
407 KB
Volume
20
Category
Article
ISSN
0025-5416

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Let \(X\) be a homogeneous tree. We study the heat diffusion process associated with the nearest neighbour isotropic Markov operator on \(X\). In particular it is shown that the heat maximal operator is weak type \((1,1)\) and strong type \((p, p)\). for every \(1<p<\infty\). We estimate the asympto