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Potential theory of one-dimensional geometric stable processes

100%

Grzywny T., Ryznar M.

Colloquium Mathematicum

2012

tom 129

nr 1

7-40

The purpose of this paper is to find optimal estimates for the Green function and the Poisson kernel for a half-line and intervals of the geometric stable process with parameter α ∈ (0,2]. This process has an infinitesimal generator of the form $-log(1+(-Δ)^{α/2})$. As an application we prove the global scale invariant Harnack inequality as well as the boundary Harnack principle.

Geometrical properties of Banach spaces and the distribution of the norm for a stable measure

79%

Ryznar M.

Studia Mathematica

1988

tom 91

nr 1

61-71

Ograniczanie wyników

1 Colloquium Mathematicum

1 Studia Mathematica

2 Ryznar M.

1 Grzywny T.

1 2012

1 1988

Wyniki wyszukiwania

Potential theory of one-dimensional geometric stable processes

Geometrical properties of Banach spaces and the distribution of the norm for a stable measure