2019/12/17 by Rydhe, Eskil
#42B10 #42B35 #FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.1912.08023
This note contains two simple observations. First, by the weak factorization of product H1 (Ferguson--Lacey, Lacey--Terwilleger), we obtain a multi-parameter analogue of Hardy's inequality. Second, as a dual statement, the Fourier transform of an essentially bounded function belongs to a certain product BMO-Sobolev space.