Pseudo-Differential Operators Bessel and Besov Spaces
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Serdica Mathematical Journal, Vol. 27, No 3, (2001), 249p-262p
We study the continuity of pseudo-differential operators on
Bessel potential spaces Hs|p (Rn ), and on the corresponding Besov spaces
B^(s,q)p (R ^n). The modulus of continuity ω we use is assumed to satisfy
j≥0, ∑ [ω(2−j )Ω(2j )]2 < ∞ where Ω is a suitable positive function.