Acta Mathematica Vietnamica

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Pseudodifferential operators on localized Besov spaces
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 (Bsp,q(Rn))r. In the case s>n/p and p≤q, we deduce the boundedness of such an operator σ(x,D) on pointwise multipliers Besov space M(Bsp,q(Rn)) .

 

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