Relativistic stable operators with critical potentials
Documenta mathematica, Tome 29 (2024) no. 1, pp. 209-245
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We give local in time sharp two sided estimates of the heat kernel associated with the relativistic stable operator perturbed by a critical (Hardy) potential.
Classification :
35K67, 31C05, 47A55, 60J35
Mots-clés : heat kernel estimates, non-local operator, relativistic Hardy potential, Schrödinger perturbation, Hardy identity
Mots-clés : heat kernel estimates, non-local operator, relativistic Hardy potential, Schrödinger perturbation, Hardy identity
Tomasz Jakubowski; Kamil Kaleta; Karol Szczypkowski. Relativistic stable operators with critical potentials. Documenta mathematica, Tome 29 (2024) no. 1, pp. 209-245. doi: 10.4171/dm/945
@article{10_4171_dm_945,
author = {Tomasz Jakubowski and Kamil Kaleta and Karol Szczypkowski},
title = {Relativistic stable operators with critical potentials},
journal = {Documenta mathematica},
pages = {209--245},
year = {2024},
volume = {29},
number = {1},
doi = {10.4171/dm/945},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/945/}
}
TY - JOUR AU - Tomasz Jakubowski AU - Kamil Kaleta AU - Karol Szczypkowski TI - Relativistic stable operators with critical potentials JO - Documenta mathematica PY - 2024 SP - 209 EP - 245 VL - 29 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4171/dm/945/ DO - 10.4171/dm/945 ID - 10_4171_dm_945 ER -
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