Hardy's inequality and Green function on metric measure spaces
Cao J, Grigoryan A, Liu L (2021)
Journal of Functional Analysis 281(3): 109020.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Autor*in
Cao, Jun;
Grigoryan, AlexanderUniBi;
Liu, Liguang
Einrichtung
Abstract / Bemerkung
We prove an abstract form of Hardy's inequality for local and non-local regular Dirichlet forms on metric measure spaces, using the Green operator of the Dirichlet form in question. Under additional assumptions such as the volume doubling, the reverse volume doubling, and certain natural estimates of the Green function, we obtain the "classical" form of Hardy's inequality containing distance to a reference point or set. (C) 2021 Elsevier Inc. All rights reserved.
Stichworte
Hardy's inequality;
Green function;
Heat kernel;
Dirichlet form;
Metric;
measure space
Erscheinungsjahr
2021
Zeitschriftentitel
Journal of Functional Analysis
Band
281
Ausgabe
3
Art.-Nr.
109020
ISSN
0022-1236
eISSN
1096-0783
Page URI
https://pub.uni-bielefeld.de/record/2955091
Zitieren
Cao J, Grigoryan A, Liu L. Hardy's inequality and Green function on metric measure spaces. Journal of Functional Analysis. 2021;281(3): 109020.
Cao, J., Grigoryan, A., & Liu, L. (2021). Hardy's inequality and Green function on metric measure spaces. Journal of Functional Analysis, 281(3), 109020. https://doi.org/10.1016/j.jfa.2021.109020
Cao, Jun, Grigoryan, Alexander, and Liu, Liguang. 2021. “Hardy's inequality and Green function on metric measure spaces”. Journal of Functional Analysis 281 (3): 109020.
Cao, J., Grigoryan, A., and Liu, L. (2021). Hardy's inequality and Green function on metric measure spaces. Journal of Functional Analysis 281:109020.
Cao, J., Grigoryan, A., & Liu, L., 2021. Hardy's inequality and Green function on metric measure spaces. Journal of Functional Analysis, 281(3): 109020.
J. Cao, A. Grigoryan, and L. Liu, “Hardy's inequality and Green function on metric measure spaces”, Journal of Functional Analysis, vol. 281, 2021, : 109020.
Cao, J., Grigoryan, A., Liu, L.: Hardy's inequality and Green function on metric measure spaces. Journal of Functional Analysis. 281, : 109020 (2021).
Cao, Jun, Grigoryan, Alexander, and Liu, Liguang. “Hardy's inequality and Green function on metric measure spaces”. Journal of Functional Analysis 281.3 (2021): 109020.
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