积域上一类相关于块空间的参数型Marcinkiewicz积分的L^2有界性

L^2 BOUNDEDNESS OF A PARAMETRIC MARCINKIEWICZ INTEGRAL RELATED TO BLOCK SPACES ON PRODUCT DOMAINS

给出了乘积域上一类粗糙核参数型Marcinkiewicz积分 μρ,σΩ ,h的L2 有界性 ,其中核函数Ω∈B0 ,1 q (Sn-1 ×Sm -1 ) (q >1) ,h(r1 ,r2 )∈l∞(Ls) (R+ ×R+ ) ( 1<s≤∞ ) .

The L 2(R n×R m) boundedness of a class of parametric Marcinkiewicz integral is given with kernel function Ω∈B 0,1 q(S n-1 ×S m-1 ) and radial function h(|x|,|y|)∈l ∞(L s)( R +×R +) for 1< s ≤∞ on the product domains R n×R m.