Bilateral estimates of some pseudo-derivatives of the transition probability density of an isotropic $\alpha$-stable stochastic process

DOI10.15330/CMP.15.2.381-387arXiv2305.12790MaRDI QIDQ6145265

M. M. Osypchuk

Publication date: 31 January 2024

Published in: Carpathian Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.12790

zbMATH Keywords

Green's functionstable processfractional Laplacianfractional gradient

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Stable stochastic processes (60G52) Fractional partial differential equations (35R11)

Related Items (1)

On single-layer potentials, pseudo-gradients and a jump theorem for an isotropic \(\alpha\)-stable stochastic process

Cites Work

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• On the crossings number of a hyperplane by a stable random process
• On single-layer potentials for a class of pseudo-differential equations related to linear transformations of a symmetric $\alpha$-stable stochastic process

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