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Madani Moussai

On the continuity of pseudo-differential operators on Besov spaces

Keywords: Besov space, pointwise multipliers, pseudo-differential operators

We study the continuity of pseudo-differential operators on Besov space B_p,q^v(Rⁿ), and on its pointwise multipliers space, where B_p,q^v (Rⁿ) is defined from a positive function v : [0,∞) →R satisfying

sup_t>0t^-γ sup_0<s<1 v(s)/v(ts) < +∞

for some positive real γ.

Analysis, Oldenbourg Wissenschaftsverlag

Print ISSN: 0174-4747
Volume: 26, 04/2006
Pages: 491 - 506

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