Herz型Hardy空间上的Littlewood-Paley g_λ^(*-)函数

Littlewood-Paley g_λ^(*-) Function on Herz-Type Hardy Spaces

给出了当n1-1q≤α<n1-1q+εα=n1-1q+ε时,Littlewood-Paleyg*-λ函数从Herz型Hardy空间HK·α,pq(Rn)到Herz空间K·α,pq(Rn)(弱Herz空间WK·α,pq(Rn))中的有界性证明.

This paper provided the boundary proof of Littlewood-Paley g~~^(*-)___λ function from Herz-type Hardy space H(K)·^(α,p)_q(R^n) to Herz space (K)·^(α,p)_q(R^n)(weak Herz space W(K)·^(α,p)_q(R^n)) if n1-1q≤α<n1-1q+(ε α=n1-1q+ε.)