Some criteria for boundedness and compactness of the Hardy operator with some special kernels
Alois KufnerAstana, Republic of KazakhstanKomil KulievAstana, Republic of KazakhstanRyskul OinarovAstana, Republic of Kazakhstan
2013en
ABI
Abstract
Abstract We present necessary and sufficient conditions for boundedness and compactness of Hardy operator (1.4) with kernel (1.3) for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mn>1</mml:mn> <mml:mo><</mml:mo> <mml:mi>p</mml:mi> <mml:mo>≤</mml:mo> <mml:mi>q</mml:mi> <mml:mo><</mml:mo> <mml:mi>∞</mml:mi> </mml:math> . MSC: 26D10, 26D15, 47B07, 47B34, 47B38.
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