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math.FA2019
A Characterization of the Lorentz space in terms of Orlicz type classes
Calixto P. Calderon, Alberto Torchinsky
We describe the Lorentz space , in terms of Orlicz type classes of functions L . As a consequence of this result it follows that Stein's characterization…
math.FA2005
Characterizations of the Hardy Space and BMO
Wael Abu-Shammala, Ji-Liang Shiu, Alberto Torchinsky
We describe the spaces and BMO in terms of their closely related, simpler dyadic and two-sided counterparts. As a result of these characterizations we establish when…