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

Fractional Kolmogorov Operator and Desingularizing Weights

  • Damir Kinzebulatov

    Université Laval, Québec, Canada

  • Yuliy A. Semënov

    University of Toronto, Canada
Fractional Kolmogorov Operator and Desingularizing Weights cover
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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