A note on global integrability of upper gradients of p-superharmonic functions

Outi Elina Maasalo, Anna Zatorska‐Goldstein

Type: Article

Publication Date: 2009-01-01

Citations: 0

DOI: https://doi.org/10.4064/cm117-2-10

Abstract

We consider a complete metric space equipped with a doubling measure and a weak Poincaré inequality. We prove that for all $p$-superharmonic functions there exists an upper gradient that is integrable on $H$-chain sets with a positive exponent.

Locations

Colloquium Mathematicum - View - PDF

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