抄録
The Lp-Liouville property of a non-local operator A is investigated via the associated Dirichlet form (ε, F). We will show that any non-negative continuous ε-subharmonic function f ∈ Floc ∩ Lp are constant under a quite mild assumption on the kernel of ε if p ≥ 2. On the contrary, if 1 < p < 2, we need an additional assumption: either, the kernel has compact support; or f is Hölder continuous.
本文言語 | English |
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ページ(範囲) | 2249-2267 |
ページ数 | 19 |
ジャーナル | Mathematische Nachrichten |
巻 | 284 |
号 | 17-18 |
DOI | |
出版ステータス | Published - 2011 12月 |
外部発表 | はい |
ASJC Scopus subject areas
- 数学 (全般)