In this paper, parabolic Marcinkiewicz integral operators along surfaces on the product domain ℝn × ℝm (n,m ⩾ 2) are introduced. Lp bounds of such operators are obtained under weak conditions on the kernels.
机构:
Qatar Univ, Coll Arts & Sci, Dept Math Stat & Phys, Math Program, Doha 2713, QatarQatar Univ, Coll Arts & Sci, Dept Math Stat & Phys, Math Program, Doha 2713, Qatar