COMPACTIFICATION OF WEIGHTED HARDY OPERATOR IN VARIABLE EXPONENT LEBESGUES SPACES
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Date
2017
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Asian Journal of Mathematics and Computer Research
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Abstract
We study necessity and sufficiency conditions for the weighted Hardy operator
x
v w H f x v x f t w t dt
0
, ( ) ( ) ( ) ( )
to be compact from Lp(.) (0, l) to Lq(.) (0,l) .
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Keywords
Variable exponent; necessity and sufficiency conditions; compactification; weighted hardy operator.