Two-weight norm inequalities for potential type integral operators in the case \(p>q>0\) and \(p>1\) (Q2839265)

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scientific article; zbMATH DE number 6184240
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English
Two-weight norm inequalities for potential type integral operators in the case \(p>q>0\) and \(p>1\)
scientific article; zbMATH DE number 6184240

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    4 July 2013
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    two-weight norm inequality
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    potential type integral operator
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    Wolff's potential
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    Two-weight norm inequalities for potential type integral operators in the case \(p>q>0\) and \(p>1\) (English)
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    The author gives sufficient conditions for two-weight norm inequalities for potential type operators to hold in the case \(0<q<p\) and \(p>1\) in terms of the Hedberg-Wolff potential without the dyadic logarithmic bounded oscillation condition. He also shows that those conditions are necessary in some special cases.
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