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Bilinear estimates in Besov spaces generated by the Dirichlet Laplacian

Functional Analysis 2018-06-08 v2

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.

Keywords

Cite

@article{arxiv.1705.08595,
  title  = {Bilinear estimates in Besov spaces generated by the Dirichlet Laplacian},
  author = {Tsukasa Iwabuchi and Tokio Matsuyama and Koichi Taniguchi},
  journal= {arXiv preprint arXiv:1705.08595},
  year   = {2018}
}

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29 pages