Lp estimates for rough parametric Marcinkiewicz integrals
Lp estimates for rough parametric Marcinkiewicz integrals
We prove the Lp boundedness of a class of parametric Marcinkiewicz integral operators ℳΩ,hρ when h satisfies a certain integrability condition and Ω belongs to the block space Bq(0,−1/2)(Sn−1) for some q>1, n≥2. Also, we obtain the Lp boundedness for a class of rough parametric Marcinkiewicz integral operators ℳΩ,h,λ*,ρ and …