Some functional properties on Cartan-Hadamard manifolds of very negative curvature

DOI10.1007/s12220-023-01541-1arXiv2105.09024OpenAlexW3160677413MaRDI QIDQ6123473

Ludovico Marini, Giona Veronelli

Publication date: 4 March 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.09024

zbMATH Keywords

stochastic completenessHardy-type inequalitiesCartan-Hadamard manifoldsSobolev spaces on manifoldsCalderón-Zygmund inequalities\(L^p\)-positivity preserving property

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Elliptic equations on manifolds, general theory (58J05) Schrödinger operator, Schrödinger equation (35J10) Diffusion processes and stochastic analysis on manifolds (58J65) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

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