Abstract
This article gives an overview of some recent progress in the study of sharp two-sided estimates for the transition density of a large class of Markov processes having both diffusive and jumping components in metric measure spaces. We summarize some of the main results obtained recently in [11, 18] and provide several examples. We also discuss new ideas of the proof for the off-diagonal upper bounds of transition densities which are based on a generalized Davies’ method developed in [10].
Original language | English |
---|---|
Title of host publication | Dirichlet Forms and Related Topics - In Honor of Masatoshi Fukushima’s Beiju, IWDFRT 2022 |
Editors | Zhen-Qing Chen, Masayoshi Takeda, Toshihiro Uemura |
Publisher | Springer |
Pages | 63-83 |
Number of pages | 21 |
ISBN (Print) | 9789811946714 |
DOIs | |
Publication status | Published - 2022 |
Externally published | Yes |
Event | International Conference on Dirichlet Forms and Related Topics, IWDFRT 2022 - Osaka, Japan Duration: 22 Aug 2022 → 26 Aug 2022 |
Publication series
Name | Springer Proceedings in Mathematics and Statistics |
---|---|
Volume | 394 |
ISSN (Print) | 2194-1009 |
ISSN (Electronic) | 2194-1017 |
Conference
Conference | International Conference on Dirichlet Forms and Related Topics, IWDFRT 2022 |
---|---|
Country/Territory | Japan |
City | Osaka |
Period | 22/08/22 → 26/08/22 |
Keywords
- Diffusion process with jumps
- Heat kernel estimate
- Inner uniform domain
- Parabolic Harnack inequality
- Symmetric Dirichlet form
Fingerprint
Dive into the research topics of 'Two-Sided Heat Kernel Estimates for Symmetric Diffusion Processes with Jumps: Recent Results'. Together they form a unique fingerprint.Cite this
Chen, Z. Q., Kim, P., Kumagai, T., & Wang, J. (2022). Two-Sided Heat Kernel Estimates for Symmetric Diffusion Processes with Jumps: Recent Results. In Z.-Q. Chen, M. Takeda, & T. Uemura (Eds.), Dirichlet Forms and Related Topics - In Honor of Masatoshi Fukushima’s Beiju, IWDFRT 2022 (pp. 63-83). (Springer Proceedings in Mathematics and Statistics; Vol. 394). Springer. https://doi.org/10.1007/978-981-19-4672-1_5