Extensions of the Inequalities of Hardy and Hilbert

2015/02/20 by Paulsen, Vern I., Singh, Dinesh
#26D15 #30H10 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1502.05909

Abstract

In this note we produce generalized versions of the classical inequalities of Hardy and of Hilbert and we establish their equivalence. Our methods rely on the H¹-BMOA duality. We produce a class of examples to establish that the generalizations are non-trivial.

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