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arXiv:1705.08595 [math.FA]AbstractReferencesReviewsResources

Bilinear estimates in Besov spaces generated by the Dirichlet Laplacian

Tsukasa Iwabuchi, Tokio Matsuyama, Koichi Taniguchi

Published 2017-05-24Version 1

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.

Comments: 31
Categories: math.FA
Subjects: 30H25, 42B35
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