New Riemannian manifolds with \(L^p\)-unbounded Riesz transform for \(p > 2\)

DOI10.1007/s00209-020-02503-xzbMath1459.58010arXiv1707.09781OpenAlexW3085982521WikidataQ115388717 ScholiaQ115388717MaRDI QIDQ2223502

Alex Amenta

Publication date: 29 January 2021

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.09781

zbMATH Keywords

Riemannian manifoldRiesz transformspinal graphVicsek manifold

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Diffusion processes and stochastic analysis on manifolds (58J65) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (1)

A dichotomy concerning uniform boundedness of Riesz transforms on Riemannian manifolds

Cites Work

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• Riesz transforms for $1\le p\le 2$
• Riesz transform and related inequalities on non‐compact Riemannian manifolds
• A dichotomy concerning uniform boundedness of Riesz transforms on Riemannian manifolds
• Manifolds and graphs with slow heat kernel decay

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