QUASI RIESZ TRANSFORMS, HARDY SPACES AND GENERALISED SUB-GAUSSIAN HEAT KERNEL ESTIMATES

DOI10.1017/S0004972715000714zbMath1331.35002OpenAlexW2112958767MaRDI QIDQ3458391

Li Chen

Publication date: 18 December 2015

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972715000714

zbMATH Keywords

graphHardy spacePoincaré inequalitySobolev inequalityRiesz transformmetric measure spaceheat kernel estimate

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Elliptic equations on manifolds, general theory (58J05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Discrete version of topics in analysis (39A12) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Heat kernel (35K08)

Cites Work

• Hardy spaces of differential forms on Riemannian manifolds
• Analysis of the Laplacian on a complete Riemannian manifold
• \(H^p\) spaces of several variables
• Riesz transform on manifolds and heat kernel regularity
• Extensions of Hardy spaces and their use in analysis
• Riesz transforms for $1\le p\le 2$
• Riesz transform and related inequalities on non‐compact Riemannian manifolds
• Manifolds and graphs with slow heat kernel decay

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