Maria Rosaria Posteraro

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Weprove an inequality ofthe form fen a(lxl)7,(dx) _> fen a(lxl)T,_ (dx), where Q is a bounded domain in R" with smooth boundary, B is a ball centered in the origin having the samemeasure as f. Fromthis we derive inequalities comparinga weighted $obolevnorm of a given functionwiththenorm ofits symmetricdecreasingrearrangement. Furthermore, we use the(More)
We present a biologically inspired mathematical model for describing the personalized interactions of users with cultural heritage objects. The main idea is to measure the interest of an artwork spectator by means of a model able to capture the context and the visitor behaviors. In the proposed approach, the user is assimilated to a computational neuron,(More)
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