Let G(x, y) and GD(x, y) be the Green functions of rotationally invariant symmetric αstable process in R and in an open set D respectively, where 0 < α < 2. The inequality GD(x, y)GD(y, z)/GD(x, z) ≤ c(G(x, y) + G(y, z)) is a very useful tool in studying (local) Schrödinger operators. When the above inequality is true with c = c(D) ∈ (0,∞), then we say that the 3G theorem holds in D. In this pa...

Let G(x, y) and GD(x, y) be the Green functions of rotationally invariant symmetric αstable process in R and in an open set D respectively, where 0 < α < 2. The inequality GD(x, y)GD(y, z)/GD(x, z) ≤ c(G(x, y) + G(y, z)) is a very useful tool in studying (local) Schrödinger operators. When the above inequality is true with c = c(D) ∈ (0,∞), then we say that the 3G theorem holds in D. In this pa...

The purpose of this paper is to introduce and study the concepts of fuzzy $e$-open set, fuzzy $e$-continuity and fuzzy $e$-compactness in intuitionistic fuzzy topological spaces. After giving the fundamental concepts of intuitionistic fuzzy sets and intuitionistic fuzzy topological spaces, we present intuitionistic fuzzy $e$-open sets and intuitionistic fuzzy $e$-continuity and other results re...