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arXiv · 1705.08595

Bilinear estimates in Besov spaces generated by the Dirichlet Laplacian

Tsukasa Iwabuchi·Tokio Matsuyama·Koichi Taniguchi
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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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Tsukasa Iwabuchi, Tokio Matsuyama, Koichi Taniguchi. 2017-05-24. Bilinear estimates in Besov spaces generated by the Dirichlet Laplacian. https://arxiv.org/abs/1705.08595

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