Hardy's inequalities for monotone functions on partly ordered measure spaces

Author:

Arcozzi Nicola,Barza Sorina,Garcia-Domingo J. L.,Soria Javier

Abstract

We characterize the weighted Hardy inequalities for monotone functions in In dimension n = 1, this recovers the standard theory of Bp weights. For n > 1, the result was previously only known for the case p = 1. In fact, our main theorem is proved in the more general setting of partly ordered measure spaces.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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