Author:
Lu Shanzhen,Yan Dunyan,Zhao Fayou
Abstract
Abstract
A new class of Hardy type operator defined on a higher-dimensional product space is discussed. It includes two different kinds of the classical Hardy operators. In addition, we also consider the fractional Hardy operator
H
β
. The bound of operator
H
β
from
L
p
to
L
q
is explicitly worked out. Especially, the bound of operator
H
β
from
L
1
to
L
n
n
−
β
,
∞
is sharp.
MSC:26D10, 26D15, 42B99.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Cited by
38 articles.
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