Robust Near-Diagonal Green Function Estimates

Kaßmann M, Kim M, Lee K-A (2023)
International Mathematics Research Notices: rnad106.

Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch
 
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Autor*in
Kaßmann, MoritzUniBi ; Kim, Minhyun; Lee, Ki-Ahm
Abstract / Bemerkung
We prove sharp near-diagonal pointwise bounds for the Green function G(O)(x,y) for nonlocal operators of fractional order a ? (0, 2). The novelty of our results is two-fold: the estimates are robust as a? 2- and we prove the bounds without making use of the Dirichlet heat kernel p(O)(t; x, y). In this way, we can cover cases, in which the Green function satisfies isotropic bounds but the heat kernel does not.
Erscheinungsjahr
2023
Zeitschriftentitel
International Mathematics Research Notices
Art.-Nr.
rnad106
ISSN
1073-7928
eISSN
1687-0247
Page URI
https://pub.uni-bielefeld.de/record/2980009

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Kaßmann M, Kim M, Lee K-A. Robust Near-Diagonal Green Function Estimates. International Mathematics Research Notices. 2023: rnad106.
Kaßmann, M., Kim, M., & Lee, K. - A. (2023). Robust Near-Diagonal Green Function Estimates. International Mathematics Research Notices, rnad106. https://doi.org/10.1093/imrn/rnad106
Kaßmann, Moritz, Kim, Minhyun, and Lee, Ki-Ahm. 2023. “Robust Near-Diagonal Green Function Estimates”. International Mathematics Research Notices: rnad106.
Kaßmann, M., Kim, M., and Lee, K. - A. (2023). Robust Near-Diagonal Green Function Estimates. International Mathematics Research Notices:rnad106.
Kaßmann, M., Kim, M., & Lee, K.-A., 2023. Robust Near-Diagonal Green Function Estimates. International Mathematics Research Notices, : rnad106.
M. Kaßmann, M. Kim, and K.-A. Lee, “Robust Near-Diagonal Green Function Estimates”, International Mathematics Research Notices, 2023, : rnad106.
Kaßmann, M., Kim, M., Lee, K.-A.: Robust Near-Diagonal Green Function Estimates. International Mathematics Research Notices. : rnad106 (2023).
Kaßmann, Moritz, Kim, Minhyun, and Lee, Ki-Ahm. “Robust Near-Diagonal Green Function Estimates”. International Mathematics Research Notices (2023): rnad106.
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arXiv: 2111.05768

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