Some weighted estimates for Littlewood--Paley functions and radial multipliers.
In the paper are considered certain Littlewood-Paley operators obtained by replacing the Euclidean norm \(| \xi| \) by some smooth function \(\rho(\xi)\). The author proves some weighted estimates for such Littlewood-Paley operators on weighted Hardy spaces \(H_w^p\) \((0<p\leq1)\) and on weighted \(L_w^p\) spaces. He also obtains some weighted estimates for the Bochner-Riesz operators and the spherical means.
scientific article; zbMATH DE number 1915711
scientific article