The Dirichlet Heat Kernel in Inner Uniform Domains in Fractal-Type Spaces
نویسندگان
چکیده
Abstract This paper proves two-sided estimates for the Dirichlet heat kernel on inner uniform domains in metric measure spaces satisfying volume doubling condition, Poincaré inequality, and a cutoff Sobolev inequality. More generally, we obtain local upper lower bounds locally under geometric assumptions underlying space.
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ژورنال
عنوان ژورنال: Potential Analysis
سال: 2021
ISSN: ['1572-929X', '0926-2601']
DOI: https://doi.org/10.1007/s11118-021-09926-z