Criterions of Wiener type for minimally thin sets and rarefied sets   associated with the stationary Schr\"odinger operator in a cone
  In the paper we give some criterions for a-minimally thin sets and a-rarefied sets associated with the stationary Schr\"odinger operator at a fixed Martin boundary point or {\infty} with respect to a cone. Moreover, we show that a positive superfunction on a cone behaves regularly outside a-rarefied set. Finally we illustrate the relation between a-minimally thin set and a-rarefied set in a cone. 
Pinhong Long, Zhiqiang Gao, Guantie Deng
math.CA math.FA