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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
L
r
-Dini conditions.
Fund Project
:
Author Name
Affiliation
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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:
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:
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Abstract
:
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
(w
1
,w
2
q1
) into K
q2
α,p2
(w
1
,w
2
q2
) and from HK
q1
α,p1
(1,w
2
q2
) into HK
q2
α,p2
(1,w
2
q2
).
Citation:
DOI
:
10.3770/j.issn:1000-341X.2005.02.014
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