BOUNDEDNESS OF MAXIMAL FUNCTIONS ON NONDOUBLING PARABOLIC MANIFOLDS WITH ENDS

DOI10.1017/S144678872000004XzbMath1478.42016OpenAlexW3011092267MaRDI QIDQ5164808

Hong Chuong Doan

Publication date: 15 November 2021

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

Full work available at URL: https://doi.org/10.1017/s144678872000004x

zbMATH Keywords

maximal functionsheat kernelsPoisson kernelsparabolic manifolds with ends

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Cites Work

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• Weighted norm inequalities, off-diagonal estimates and elliptic operators. I: General operator theory and weights
• Heat kernel on manifolds with ends
• Singular integral operators with non-smooth kernels on irregular domains
• Heat kernel estimates on connected sums of parabolic manifolds
• The \(Tb\)-theorem on non-homogeneous spaces.
• Semigroup kernels, Poisson bounds, and holomorphic functional calculus
• Boundedness of maximal functions on non-doubling manifolds with ends
• Riesz transforms for $1\le p\le 2$
• Functional calculus of operators with heat kernel bounds on non-doubling manifolds with ends
• A proof of the weak \((1,1)\) inequality for singular integrals with non doubling measures based on a Calderón-Zygmund decomposition

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