A direct proof of the cutoff Sobolev inequality on the Sierpiński gasket
arXiv:2505.04186
Abstract
We present a direct proof of the cutoff Sobolev inequality on the Sierpiński gasket, which has long been regarded as highly non-trivial in the context of heat kernel estimates.
7 pages, major revision. This version includes only the proof on the Sierpinski gasket. arXiv admin note: text overlap with arXiv:2504.09503