Abstract
First we define the dyadic Hardy spaceH X (d) for an arbitrary rearrangement invariant spaceX on [0, 1]. We remark that previously only a definition ofH X (d) forX with the upper Boyd indexq x <∞ was available. Then we get a natural description of the dual space ofH x , in the caseX having the property 1<-p X <-q X <2, imporoving an earlier result [P1].
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Popa, N. Dual spaces of dyadic Hardy spaces generated by a rearrangement invariant spaceX on [0,1]. Ark. Mat. 36, 163–175 (1998). https://doi.org/10.1007/BF02385673
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DOI: https://doi.org/10.1007/BF02385673