Compound Poisson processes: potentials, Green measures and random times

Yuri Kondratiev; José L. da Silva; Luís da Silva, José

http://hdl.handle.net/10400.13/7224

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Autores

Yuri Kondratiev

José L. da Silva

Luís da Silva, José

Resumo(s)

In this paper we study the existence of Green measures for Markov processes with a nonlocal jump generator. The non-singular jump kernel has no second moment and satisfies a suitable condition on its Fourier transform. We also study the same problem for certain classes of random time changes Markov processes with jump generator.