Counting massive sets and dimensions of harmonic functions.

DOI10.4310/jdg/1214425536zbMath1039.53036OpenAlexW1780947473WikidataQ115193486 ScholiaQ115193486MaRDI QIDQ1609751

Jiaping Wang, Peter Li

Publication date: 15 August 2002

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214425536

zbMATH Keywords

Riemannian manifoldsharmonic functionsmassive sets

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Potential theory on Riemannian manifolds and other spaces (31C12)

Related Items (9)

On the dimensions of spaces of harmonic functions with polynomial growth ⋮ A monotonicity formula on complete Kähler manifolds with nonnegative bisectional curvature ⋮ Three circles theorems for harmonic functions ⋮ On the asymptotic behavior of the dimension of spaces of harmonic functions with polynomial growth ⋮ The dimensional estimates of exponential growth solutions to uniformly elliptic equations of non-divergence form ⋮ Harmonic functions with polynomial growth on manifolds with nonnegative Ricci curvature ⋮ Counting dimensions of L-harmonic functions with exponential growth ⋮ The polynomial growth solutions to some sub-elliptic equations on the Heisenberg group ⋮ Geometric analysis aspects of infinite semiplanar graphs with nonnegative curvature II

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