Embedding of RCD⁎(K,N) spaces in L2 via eigenfunctions

Author:

Ambrosio Luigi,Honda Shouhei,Portegies Jacobus W.,Tewodrose David

Funder

Tohoku University

Scuola Normale Superiore

Publisher

Elsevier BV

Subject

Analysis

Reference55 articles.

1. Optimal transport, Cheeger energies and contractivity of dynamic transport distances in extended spaces;Ambrosio;Nonlinear Anal.,2016

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. New stability results for sequences of metric measure spaces with uniform Ricci bounds from below;Ambrosio,2017

5. Local spectral convergence in RCD⁎(K,N) spaces;Ambrosio;Nonlinear Anal.,2018

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1. On the notion of Laplacian bounds on spaces and applications;Proceedings of the American Mathematical Society;2023-11-07

2. Sobolev Mappings Between RCD Spaces and Applications to Harmonic Maps: A Heat Kernel Approach;The Journal of Geometric Analysis;2023-06-15

3. Isometric immersions of RCD(K, N) spaces via heat kernels;Calculus of Variations and Partial Differential Equations;2023-03-17

4. Weakly non-collapsed RCD spaces are strongly non-collapsed;Journal für die reine und angewandte Mathematik (Crelles Journal);2022-12-01

5. A note on the topological stability theorem from $${{\,\textrm{RCD}\,}}$$ spaces to Riemannian manifolds;manuscripta mathematica;2022-10-19

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