Fractional Kolmogorov operator and desingularizing weights

2020/05/22 by D. Kinzebulatov, Kinzebulatov, D., Yu. A. Semënov +1 · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Partial Differential Equations #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.2005.11199

openalex publication_date 2020/05/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 appropriate weighted space with singular weight.

Cited by

• Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators

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