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SEMINARIO: 12 dicembre 2011 alle ore 15, aula 21. "Best constants via rearrangements and related topics", prof. Enrico Laeng (Politecnico di Milano)

Abstract: Sometimes best constants and norms of a (sub)linear operator can be obtained via a suitable rearrangement property of the operator under study. This approach has been very successful in the case of the non-centered Hardy-Littlewood maximal operator. We tried to extend the same idea to other cases, in particular to the Hilbert transform, with some partial results, and with some side effects on related problems.