Generalized 3G theorem and application to relativistic stable process on non-smooth open sets
نویسندگان
چکیده
منابع مشابه
Generalized 3G theorem and application to relativistic stable process on non-smooth open sets
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...
متن کامل1 6 M ay 2 00 6 Generalized 3 G theorem and application to relativistic stable process on non - smooth open sets
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...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2007
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2007.02.001