Bilinear estimates in Besov spaces generated by the Dirichlet Laplacian

Published 24 May 2017 in math.FA | (1705.08595v2)

Abstract: 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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