Yuri KondratievJosé L. da SilvaLuís da Silva, José2025-04-012025-04-012023-060167-7152http://hdl.handle.net/10400.13/7224In 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.engMarkov processesGreen measuresRandom time change processesAsymptotic behavior.Faculdade de Ciências Exatas e da Engenhariajournal article10.1016/j.spl.2023.109815