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Hardy perturbations of subordinated Bessel heat kernels

Authors :
Bogdan, Krzysztof
Jakubowski, Tomasz
Merz, Konstantin
Publication Year :
2024

Abstract

Motivated by the spectral theory of relativistic atoms, we prove matching upper and lower bounds for the transition density of Hardy perturbations of subordinated Bessel heat kernels. The analysis is based on suitable supermedian functions, in particular invariant functions.<br />Comment: 59 pages

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2409.02853
Document Type :
Working Paper