Items for "pseudo-differential operators"

On the continuity of pseudo-differential operators on Besov spaces

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) < +∞

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