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Carlson type inequalities

Keywords: Inequalities , Sharp constants , Carlson's inequality , Kjellberg's inequality , Multidimensional inequalities

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Abstract:

A scale of Carlson type inequalities are proved and the best constants are found. Some multidimensional versions of these inequalities are also proved and it is pointed out that also a well-known inequality by Beurling–Kjellberg is included as an endpoint case.

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