Fractional Kolmogorov Operator and Desingularizing Weights

Damir Kinzebulatov; Yuliy A. Semënov

doi:10.4171/prims/59-2-3

JournalsprimsVol. 59, No. 2pp. 339–391

Fractional Kolmogorov Operator and Desingularizing Weights

Damir Kinzebulatov
Université Laval, Québec, Canada
MathSciNet zbMATH Open
Yuliy A. Semënov
University of Toronto, Canada
MathSciNet zbMATH Open

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Abstract

We establish sharp upper and lower bounds on the heat kernel of the fractional Laplace operator perturbed by Hardy-type drift by transferring it to an appropriate weighted space with singular weight.

Cite this article

Damir Kinzebulatov, Yuliy A. Semënov, Fractional Kolmogorov Operator and Desingularizing Weights. Publ. Res. Inst. Math. Sci. 59 (2023), no. 2, pp. 339–391

DOI 10.4171/PRIMS/59-2-3