Cholryong Kang, SongIl Ri
Abstract
Basing on the Orlicz–Sobolev inequality for a given Dirichlet form, the same type inequality is established for the quadratic form associated to the generator with a power. Some examples are provided to show the optimality of the main result.
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Basing on the Orlicz–Sobolev inequality for a given Dirichlet form, the same type inequality is established for the quadratic form associated to the generator with a power. Some examples are provided to show the optimality of the main result.
Key concepts: Mathematics, Type (biology), Inequality, Quadratic equation, Pure mathematics, Dirichlet distribution, Generator (circuit theory), Quadratic form (statistics)