Boundedness of Some Fractional Integral Operators on Weighted Herz Type Hardy Spaces
Received:April 21, 2003  
Key Words: fractional integral   weighted Herz spaces   Hardy space   Lr-Dini conditions.  
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Author NameAffiliation
LAN Jia-cheng Dept. of Math.
Lishui University
Zhejiang
China 
LU Shan-zhen Dept. of Math.
Beijing Normal University
Beijing
China 
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Abstract:
      We discuss that boundedness of some fractional integral operators with homogeneous kernel, and prove that TΩ,μ is bounded from HKq1α,p1(w1,w2q1) into Kq2α,p2(w1,w2q2) and from HKq1α,p1(1,w2q2) into HKq2α,p2(1,w2q2).
Citation:
DOI:10.3770/j.issn:1000-341X.2005.02.014
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