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The Uniqueness Problem for Subordinate Resolvents with Potential Theoretical Methods

Research paper by Nicu Boboc, Gheorghe Bucur

Indexed on: 20 Nov '08Published on: 20 Nov '08Published in: Potential Analysis



Abstract

We present an analytic version of the following uniqueness problem for Markov processes: if two subprocesses of a given transient, Borel right process have the same excessive functions then they coincide. Our treatment is given in terms of subordinate sub-Markovian resolvents of kernels in the sense of P. A. Mayer and uses essentially the subordination operators introduced by G. Mokobodzki.