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math.FA2012
Dyadic A1 weights and equimeasurable rearrangements of functions
Eleftherios Nikolidakis
We prove that the decreasing rearrangement of a dyadic A1 weight w with dyadic A1 constant [w]_{1,T}=c with respect to a tree T of homogeneity k,on a non-atomic probability space,…
math.FA2012
The Bellman function of two variables for the dyadic maximal operator
Eleftherios N. Nikolidakis, Antonios D. Melas
For p>1 we find the Bellman function of two variables associated with the dyadic maximal operator on Rn.Actually we do that in the more general setting of tree-like maximal operato…