Subcriticality and gaugeability for symmetric α-stable processes

Masayoshi Takeda, Toshihiro Uemura

Research output: Contribution to journalArticlepeer-review

28 Citations (Scopus)


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+).

Original languageEnglish
Pages (from-to)505-517
Number of pages13
JournalForum Mathematicum
Issue number4
Publication statusPublished - 2004 Jan 1

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics


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