Displaying similar documents to “Riesz transforms on connected sums”

Riesz transform on manifolds and Poincaré inequalitie

Pascal Auscher, Thierry Coulhon (2005)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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We study the validity of the L p inequality for the Riesz transform when p > 2 and of its reverse inequality when 1 < p < 2 on complete riemannian manifolds under the doubling property and some Poincaré inequalities.

Heat kernel on manifolds with ends

Alexander Grigor’yan, Laurent Saloff-Coste (2009)

Annales de l’institut Fourier

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We prove two-sided estimates of heat kernels on non-parabolic Riemannian manifolds with ends, assuming that the heat kernel on each end separately satisfies the Li-Yau estimate.

Gradient estimates for a nonlinear equation Δ f u + c u - α = 0 on complete noncompact manifolds

Jing Zhang, Bingqing Ma (2011)

Communications in Mathematics

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Let ( M , g ) be a complete noncompact Riemannian manifold. We consider gradient estimates on positive solutions to the following nonlinear equation Δ f u + c u - α = 0 in M , where α , c are two real constants and α > 0 , f is a smooth real valued function on M and Δ f = Δ - ∇ f ∇ . When N is finite and the N -Bakry-Emery Ricci tensor is bounded from below, we obtain a gradient estimate for positive solutions of the above equation. Moreover, under the assumption that ∞ -Bakry-Emery Ricci tensor is bounded from below and | ∇ f | is bounded...