Bilinear estimates in Besov spaces generated by the Dirichlet Laplacian

Tsukasa Iwabuchi, Tokio Matsuyama, Koichi Taniguchi

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Article number124640
JournalJournal of Mathematical Analysis and Applications
Volume494
Issue number2
DOIs
Publication statusPublished - 2021 Feb 15

Keywords

  • Besov spaces
  • Bilinear estimates
  • Gradient estimates
  • The Dirichlet Laplacian

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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