Abstract
The study of symmetric property in the L 2-sense for the non-positive definite operator is motivated by the theory of probability and analysis. This paper presents some sufficient conditions for the existence of symmetric measure for Lévy type operator. Some new examples are illustrated. The present study is an important step for considering various ergodic properties and functional inequalities of Lévy type operator.
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Research supported in part by NSFC (No. 10271207)
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Wang, J. Symmetric Lévy type operator. Acta. Math. Sin.-English Ser. 25, 39–46 (2009). https://doi.org/10.1007/s10114-008-7154-8
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DOI: https://doi.org/10.1007/s10114-008-7154-8