Relativistic stable operators with critical potentials

Tomasz Jakubowski; Kamil Kaleta; Karol Szczypkowski

doi:10.4171/dm/945

JournalsdmVol. 29, No. 1pp. 209–245

Relativistic stable operators with critical potentials

Tomasz Jakubowski
Politechnika Wrocławska, Poland
Kamil Kaleta
Politechnika Wrocławska, Poland
Karol Szczypkowski
Politechnika Wrocławska, Poland

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Abstract

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.

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Tomasz Jakubowski, Kamil Kaleta, Karol Szczypkowski, Relativistic stable operators with critical potentials. Doc. Math. 29 (2024), no. 1, pp. 209–245

DOI 10.4171/DM/945