Besov spaces on open sets

研究成果: Article査読

3 被引用数 (Scopus)

抄録

This paper is devoted to giving definitions of Besov spaces on an arbitrary open set Ω of Rn via the spectral theorem for the Schrödinger operator with the Dirichlet boundary condition. The crucial point is to introduce some test function spaces on Ω. The fundamental properties of Besov spaces are also shown, such as embedding relations and duality, etc. Furthermore, the isomorphism relations are established among the Besov spaces in which regularity of functions is measured by the Dirichlet Laplacian and the Schrödinger operators.

本文言語English
ページ(範囲)93-149
ページ数57
ジャーナルBulletin des Sciences Mathematiques
152
DOI
出版ステータスPublished - 2019 5

ASJC Scopus subject areas

  • 数学 (全般)

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