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Bellman function sitting on a tree

2018/09/10 by Arcozzi, Nicola, Holmes, Irina, Mozolyako, Pavel +1
#42B20 #42B35 #47A30 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #F.2.2 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1809.03397

Abstract

In this note we give a proof-by-formula of certain important embedding inequalities on dyadic tree. This is done with the help of Bellman function. We also consider the case of a bi-tree, where a different approach is explained.

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