Comparison inequalities for heat semigroups and heat kernels on metric measure spaces
Grigoryan A, Hu J, Lau K-S (2010)
Journal of Functional Analysis 259(10): 2613-2641.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Autor*in
Grigoryan, AlexanderUniBi;
Hu, Jiaxin;
Lau, Ka-Sing
Einrichtung
Abstract / Bemerkung
We prove a certain inequality for a subsolution of the heat equation associated with a regular Dirichlet form. As a consequence of this inequality, we obtain various interesting comparison inequalities for heat semigroups and heat kernels, which can be used for obtaining pointwise estimates of heat kernels. As an example of application, we present a new method of deducing sub-Gaussian upper bounds of the heat kernel from on-diagonal bounds and tail estimates. (C) 2010 Elsevier Inc. All rights reserved.
Stichworte
Maximum principle;
Heat kernel;
Heat semigroup;
Dirichlet form
Erscheinungsjahr
2010
Zeitschriftentitel
Journal of Functional Analysis
Band
259
Ausgabe
10
Seite(n)
2613-2641
ISSN
0022-1236
Page URI
https://pub.uni-bielefeld.de/record/1794066
Zitieren
Grigoryan A, Hu J, Lau K-S. Comparison inequalities for heat semigroups and heat kernels on metric measure spaces. Journal of Functional Analysis. 2010;259(10):2613-2641.
Grigoryan, A., Hu, J., & Lau, K. - S. (2010). Comparison inequalities for heat semigroups and heat kernels on metric measure spaces. Journal of Functional Analysis, 259(10), 2613-2641. https://doi.org/10.1016/j.jfa.2010.07.010
Grigoryan, Alexander, Hu, Jiaxin, and Lau, Ka-Sing. 2010. “Comparison inequalities for heat semigroups and heat kernels on metric measure spaces”. Journal of Functional Analysis 259 (10): 2613-2641.
Grigoryan, A., Hu, J., and Lau, K. - S. (2010). Comparison inequalities for heat semigroups and heat kernels on metric measure spaces. Journal of Functional Analysis 259, 2613-2641.
Grigoryan, A., Hu, J., & Lau, K.-S., 2010. Comparison inequalities for heat semigroups and heat kernels on metric measure spaces. Journal of Functional Analysis, 259(10), p 2613-2641.
A. Grigoryan, J. Hu, and K.-S. Lau, “Comparison inequalities for heat semigroups and heat kernels on metric measure spaces”, Journal of Functional Analysis, vol. 259, 2010, pp. 2613-2641.
Grigoryan, A., Hu, J., Lau, K.-S.: Comparison inequalities for heat semigroups and heat kernels on metric measure spaces. Journal of Functional Analysis. 259, 2613-2641 (2010).
Grigoryan, Alexander, Hu, Jiaxin, and Lau, Ka-Sing. “Comparison inequalities for heat semigroups and heat kernels on metric measure spaces”. Journal of Functional Analysis 259.10 (2010): 2613-2641.
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