An intrinsic necessary and sufficient condition for a measure being conditionally gaugeable was obtained in [Che2] and [T2]. We apply it to symmetric α-stable processes and give an interesting example of conditionally gaugeable measure. We show that for a Green-tight measure μ there exist constants θ- and θ+ with θ- < 0 < θ+ such that the operator -1/2(-Δ)α/2 + θμ is subcritical if and only if θ belongs to the interval (θ-, θ+).
|Number of pages||13|
|Publication status||Published - 2004 Jan 1|
ASJC Scopus subject areas
- Applied Mathematics