Title of article
Weighted weak type inequalities for modified Hardy operators and geometric means operators in dimensions one and greater
Author/Authors
Pedro Ortega Salvador ?، نويسنده , , Consuelo Ram?rez Torreblanca، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2007
Pages
15
From page
593
To page
607
Abstract
We characterize the pairs of weights (u, v) such that the geometric mean operator G1, defined for positive
functions f on (0,∞) by
G1f (x) = exp 1
x
x
0
log f ,
verifies the weak type inequality
{x∈(0,∞): G1f (x)>λ}
u
1
q C
λ ∞
0
f pv
1
p
in the case 0
Keywords
Weighted inequalities , Modified Hardy operators , Weights , Geometric mean operator , Weak type inequalities , Hardy operators
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2007
Journal title
Journal of Mathematical Analysis and Applications
Record number
936287
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