Parabolic mean value inequality and on-diagonal upper bound of the heat kernel on doubling spaces
Grigoryan A, Hu E, Hu J (2023)
Mathematische Annalen .
Zeitschriftenaufsatz
| E-Veröff. vor dem Druck | Englisch
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Autor*in
Grigoryan, AlexanderUniBi;
Hu, Eryan;
Hu, Jiaxin
Einrichtung
Abstract / Bemerkung
We prove the diagonal upper bound of heat kernels for regular Dirichlet forms on metric measure spaces with volume doubling condition. As hypotheses, we use the Faber-Krahn inequality, the generalized capacity condition and an upper bound for the integrated tail of the jump kernel. The proof goes though a parabolic mean value inequality for subcaloric functions.
Stichworte
Primary 35K08;
Secondary 28A80;
60J35
Erscheinungsjahr
2023
Zeitschriftentitel
Mathematische Annalen
ISSN
0025-5831
eISSN
1432-1807
Page URI
https://pub.uni-bielefeld.de/record/2983164
Zitieren
Grigoryan A, Hu E, Hu J. Parabolic mean value inequality and on-diagonal upper bound of the heat kernel on doubling spaces. Mathematische Annalen . 2023.
Grigoryan, A., Hu, E., & Hu, J. (2023). Parabolic mean value inequality and on-diagonal upper bound of the heat kernel on doubling spaces. Mathematische Annalen . https://doi.org/10.1007/s00208-023-02699-3
Grigoryan, Alexander, Hu, Eryan, and Hu, Jiaxin. 2023. “Parabolic mean value inequality and on-diagonal upper bound of the heat kernel on doubling spaces”. Mathematische Annalen .
Grigoryan, A., Hu, E., and Hu, J. (2023). Parabolic mean value inequality and on-diagonal upper bound of the heat kernel on doubling spaces. Mathematische Annalen .
Grigoryan, A., Hu, E., & Hu, J., 2023. Parabolic mean value inequality and on-diagonal upper bound of the heat kernel on doubling spaces. Mathematische Annalen .
A. Grigoryan, E. Hu, and J. Hu, “Parabolic mean value inequality and on-diagonal upper bound of the heat kernel on doubling spaces”, Mathematische Annalen , 2023.
Grigoryan, A., Hu, E., Hu, J.: Parabolic mean value inequality and on-diagonal upper bound of the heat kernel on doubling spaces. Mathematische Annalen . (2023).
Grigoryan, Alexander, Hu, Eryan, and Hu, Jiaxin. “Parabolic mean value inequality and on-diagonal upper bound of the heat kernel on doubling spaces”. Mathematische Annalen (2023).
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