Sub-Gaussian heat kernel estimates and quasi Riesz transforms for \(1\leq p\leq 2\)

DOI10.5565/PUBLMAT_59215_03zbMath1331.58031arXiv1401.2279MaRDI QIDQ2515545

Li Chen

Publication date: 5 August 2015

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.2279

zbMATH Keywords

\(L^p\) boundednessRiemannian manifoldheat semigroupquasi Riesz transformsub-Gaussian heat kernel estimates

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 (7)

Spectral multiplier theorem and sub-Gaussian heat kernel estimates ⋮ Volume growth on manifolds with quadratic curvature decay and its applications ⋮ On gradient estimates for heat kernels ⋮ Riesz transform for \(1\leq p \leq 2\) without Gaussian heat kernel bound ⋮ Riesz transforms for bounded Laplacians on graphs ⋮ Density and non-density of \(C_c^\infty\hookrightarrow W^{k,p}\) on complete manifolds with curvature bounds ⋮ Besov class via heat semigroup on Dirichlet spaces. I: Sobolev type inequalities

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