The extension of Grishin's lemma to excessive measures (Q1370913)

The author proves a version of Grishin's lemma for excessive measures with respect to a submarkovian resolvent of positive kernels on a measurable space. In classical potential theory the Grishin lemma states that for any positive \(\delta \)-superharmonic function \(w\) the Riesz charge \(\mu [w]\) satisfies \(\mu [w]\leq 0\) on the set \(\left\{ x:w\left( x\right) =0\right\} \). The author also proves how Fuglede's version of Grishin's lemma is obtained from his result.