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The $L^1$ Liouville Property on Weighted manifolds

Published 25 Feb 2014 in math.DG and math.AP | (1402.6170v1)

Abstract: We consider a complete noncompact smooth metric measure space $(Mn,g,e{-f} dv)$ 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 $L1$ norm is constant.

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Authors (2)

  1. Nelia Charalambous 
  2. Zhiqin Lu 

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