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arXiv · 1402.6170

The $L^1$ Liouville Property on Weighted manifolds

Nelia Charalambous·Zhiqin Lu
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Abstract

We consider a complete noncompact smooth metric measure space $(M^n,g,e^{-f} dv)$ and the associated drifting Laplacian. We find sufficient conditions on the geometry of the space so that every nonnegative $f$-subharmonic function with bounded weighted $L^1$ norm is constant.

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BibTeXRIS

Nelia Charalambous, Zhiqin Lu. 2014-02-25. The $L^1$ Liouville Property on Weighted manifolds. https://arxiv.org/abs/1402.6170

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