Littlewood-paley operators on the generalized Lipschitz spaces

Shanzhen Lu, Changmei Tan, Kozo Yabuta
1996 Georgian Mathematical Journal  
Littlewood-Paley operators defined on a new kind of generalized Lipschitz spaces E α,p 0 are studied. It is proved that the image of a function under the action of these operators is either equal to infinity almost everywhere or is in E α,p 0 , where −n < α < 1 and 1 < p < ∞. 1991 Mathematics Subject Classification. 42B25.
doi:10.1007/bf02256799 fatcat:2ouowydkivchpbvp3ussd6fqcq