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Seminario Dottorato: Hardy type inequalities on the cone of monotone sequences

Wednesday, 6 February 2013 - Zhanar Taspaganbetova

ARGOMENTI: Seminari Dottorato

SEMINARIO DOTTORATO
Wednesday 6 February 2013 h. 16:00, room 2BC30
Zhanar Taspaganbetova (Dip. Mat.)
"Hardy type inequalities on the cone of monotone sequences"

-Abstract
Weighted Hardy type inequalities restricted to the cones of monotone functions and sequences have been extensively studied in the last decades, especially in view of their applications in the estimation of maximal functions, in the theory of interpolation of operators and in the embedding theory of function spaces. In this talk, we introduce a Hardy type inequality on the cone of non-negative and non-increasing sequences. We give the statement and motivation of the problem. We describe the development and current status of the theory of Hardy type inequalities on the cones of monotone functions and sequences. Moreover, we also present some open problems.

Rif. int. C. Marastoni, T. Vargiolu

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