Local spectral convergence in RCD∗(K,N) spaces

Author:

Ambrosio Luigi,Honda Shouhei

Funder

MIUR

JSPS

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference37 articles.

1. Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope;Ambrosio;Adv. Stud. Pure Math.,2015

2. Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below;Ambrosio;Invent. Math.,2014

3. Metric measure spaces with Riemannian Ricci curvature bounded from below;Ambrosio;Duke Math. J.,2014

4. Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds;Ambrosio;Ann. Probab.,2015

5. L. Ambrosio, S. Honda, New stability results for sequences of metric measure spaces with uniform Ricci bounds from below. ArXiv preprint arXiv:1605.07908, (in press) as a chapter in Measure Theory in Non-Smooth Spaces, De Gruyter Press, edited by Nicola Gigli.

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1. Sharp gradient estimate, rigidity and almost rigidity of Green functions on non-parabolic RCD(0, N) spaces;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2024-01-17

2. First-order heat content asymptotics on RCD(K,N) spaces;Nonlinear Analysis;2024-01

3. Singular Weyl’s law with Ricci curvature bounded below;Transactions of the American Mathematical Society, Series B;2023-08-29

4. Extremal of Log-Sobolev Functionals and Li-Yau Estimate on $$\textrm{RCD}^*(K,N)$$ Spaces;Potential Analysis;2023-07-27

5. Canonical Diffeomorphisms of Manifolds Near Spheres;The Journal of Geometric Analysis;2023-07-12

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