Poincare constant on manifolds with ends
Grigoryan A, Ishiwata S, Saloff-Coste L (2023)
Proceedings of the London Mathematical Society .
Zeitschriftenaufsatz
| E-Veröff. vor dem Druck | Englisch
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Autor*in
Grigoryan, AlexanderUniBi;
Ishiwata, Satoshi;
Saloff-Coste, Laurent
Einrichtung
Abstract / Bemerkung
We obtain optimal estimates of the Poincare constant of central balls on manifolds with finitely many ends. Surprisingly enough, the Poincare constant is determined by the second largest end. The proof is based on the argument by Kusuoka-Stroock where the heat kernel estimates on the central balls play an essential role. For this purpose, we extend earlier heat kernel estimates obtained by the authors to a larger class of parabolic manifolds with ends.
Erscheinungsjahr
2023
Zeitschriftentitel
Proceedings of the London Mathematical Society
ISSN
0024-6115
eISSN
1460-244X
Page URI
https://pub.uni-bielefeld.de/record/2979258
Zitieren
Grigoryan A, Ishiwata S, Saloff-Coste L. Poincare constant on manifolds with ends. Proceedings of the London Mathematical Society . 2023.
Grigoryan, A., Ishiwata, S., & Saloff-Coste, L. (2023). Poincare constant on manifolds with ends. Proceedings of the London Mathematical Society . https://doi.org/10.1112/plms.12522
Grigoryan, Alexander, Ishiwata, Satoshi, and Saloff-Coste, Laurent. 2023. “Poincare constant on manifolds with ends”. Proceedings of the London Mathematical Society .
Grigoryan, A., Ishiwata, S., and Saloff-Coste, L. (2023). Poincare constant on manifolds with ends. Proceedings of the London Mathematical Society .
Grigoryan, A., Ishiwata, S., & Saloff-Coste, L., 2023. Poincare constant on manifolds with ends. Proceedings of the London Mathematical Society .
A. Grigoryan, S. Ishiwata, and L. Saloff-Coste, “Poincare constant on manifolds with ends”, Proceedings of the London Mathematical Society , 2023.
Grigoryan, A., Ishiwata, S., Saloff-Coste, L.: Poincare constant on manifolds with ends. Proceedings of the London Mathematical Society . (2023).
Grigoryan, Alexander, Ishiwata, Satoshi, and Saloff-Coste, Laurent. “Poincare constant on manifolds with ends”. Proceedings of the London Mathematical Society (2023).
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