# Besov spaces on open sets

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 93-149 57 Bulletin des Sciences Mathematiques 152 https://doi.org/10.1016/j.bulsci.2019.01.008 Published - 2019 5

• 数学 (全般)

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