Smooth bumps, a Borel theorem and partitions of smooth functions on p.c.f. fractals

DOI10.1090/S0002-9947-08-04772-7zbMath1213.28007arXiv0909.0738MaRDI QIDQ3623372

Robert S. Strichartz, Luke G. Rogers, Alexander Teplyaev

Publication date: 17 April 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.0738

zbMATH Keywords

heat kernelfractalspartition of unitysub-Gaussian estimatesBorel theoremjet functions

Mathematics Subject Classification ID

Diffusion processes (60J60) Fractals (28A80) Other generalizations (nonlinear potential theory, etc.) (31C45)

Related Items (11)

Sobolev spaces on p.c.f. self-similar sets. II: Boundary behavior and interpolation theorems ⋮ From Strichartz Estimates to Differential Equations on Fractals ⋮ Distribution theory on p.c.f. fractals ⋮ Pseudo-differential operators on fractals and other metric measure spaces ⋮ Pseudodifferential operators associated with a semigroup of operators ⋮ Asymptotic behavior of density in the boundary-driven exclusion process on the Sierpinski gasket ⋮ Expansion in generalized eigenfunctions for Laplacians on graphs and metric measure spaces ⋮ Higher order Laplacians on p.c.f. fractals with three boundary points and dihedral symmetry ⋮ Sobolev spaces on p.c.f. self-similar sets I: critical orders and atomic decompositions ⋮ The Kusuoka measure and the energy Laplacian on level-\(k\) Sierpiński gaskets ⋮ Boundary Harnack inequality for Markov processes with jumps

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