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arxiv: 1705.08595 · v2 · pith:GYFMVA6Dnew · submitted 2017-05-24 · 🧮 math.FA

Bilinear estimates in Besov spaces generated by the Dirichlet Laplacian

classification 🧮 math.FA
keywords estimatesspacesbesovbilineardirichletgeneratedlaplacianbony
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The purpose of this paper is to establish bilinear estimates in Besov spaces generated by the Dirichlet Laplacian on a domain of Euclidian spaces. These estimates are proved by using the gradient estimates for heat semigroup together with the Bony paraproduct formula and the boundedness of spectral multipliers.

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