A note on ``Riesz transform for \(1\leq p\leq 2\) without Gaussian heat kernel bound

DOI10.1007/S12220-017-9879-ZzbMath1394.42011OpenAlexW2626301650MaRDI QIDQ1651382

Jie-Xiang Zhu, Hong-Quan Li

Publication date: 12 July 2018

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

Full work available at URL: https://doi.org/10.1007/s12220-017-9879-z

zbMATH Keywords

heat kerneldirect productRiesz transform

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (6)

Spectral multiplier theorem and sub-Gaussian heat kernel estimates ⋮ Riesz transform via heat kernel and harmonic functions on non-compact manifolds ⋮ New Riemannian manifolds with \(L^p\)-unbounded Riesz transform for \(p > 2\) ⋮ Estimates for operators related to the sub-Laplacian with drift in Heisenberg groups ⋮ A dichotomy concerning uniform boundedness of Riesz transforms on Riemannian manifolds ⋮ Sharp endpoint estimates for some operators associated with the Laplacian with drift in Euclidean space

Cites Work

• Singular integral operators with non-smooth kernels on irregular domains
• Riesz transform for \(1\leq p \leq 2\) without Gaussian heat kernel bound
• Semigroup kernels, Poisson bounds, and holomorphic functional calculus
• Riesz transforms for $1\le p\le 2$
• On the relation between elliptic and parabolic Harnack inequalities

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