Sharp Li–Yau inequalities for Dunkl harmonic oscillators
نویسندگان
چکیده
Abstract We study the Li–Yau inequality for heat equation corresponding to Dunkl harmonic oscillator, which is a nonlocal Schrödinger operator parameterized by reflections and multiplicity functions. In particular case when reflection group isomorphic ℤ 2 d {\mathbb{Z}_{2}^{d}} , result sharp in sense that equality achieved kernel of classic oscillator. also provide application on parabolic Harnack inequalities.
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ژورنال
عنوان ژورنال: Forum Mathematicum
سال: 2023
ISSN: ['1435-5337', '0933-7741']
DOI: https://doi.org/10.1515/forum-2022-0223