分数次积分在加权Herz型Hardy空间的有界性

Boundedness of Some Fractional Integral Operators on Weighted Herz Type Hardy Spaces

中文关键词:  分数次积分  加权Herz空间  Hardy空间  L^r-Dini条件

英文关键词:fractional integral  weighted Herz spaces  Hardy space  L^r-Dini conditions.

中文摘要:

      讨论了具有齐性核的分数次积分算子T_Ω,μ在加权Herz型Hardy空间的有界性,证明T_Ω,μ是从HK_q1^α,p1(w₁,w₂^q1)到K_q2^α,p2(w₁,w₂^q2)或HK_q1^α,p1(1,w₂

英文摘要:

      We discuss that boundedness of some fractional integral operators with homogeneous kernel, and prove that T_Ω,μ is bounded from HK_q1^α,p1(w₁,w₂^q1) into K_q2^α,p2(w₁,w₂^q2) and from HK_q1^α,p1(1,w₂^q2) into HK_q2^α,p2(1,w₂^q2).