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Acta Mathematica Vietnamica

Pseudodifferential operators on localized Besov spaces

icon-email Madani Moussai , Salah Eddine Allaoui

Abstract

We study the boundedness of pseudodifferential operators σ(x,D) of order m and symbols σ(x,ξ) which satisfy a condition of Dini-type, on localized Besov spaces (Bp,qs(Rn))r. In the case s>n/p and pq, we deduce the boundedness of such an operator σ(x,D) on pointwise multipliers Besov space M(Bp,qs(Rn)).