On the entropy norm spaces and the Hardy space 𝑅𝑒𝐻¹

Lang, W. C.

doi:10.1090/S0002-9939-1993-1166359-1

On the entropy norm spaces and the Hardy space $\textrm {Re} H^ 1$
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Proc. Amer. Math. Soc. 118 (1993), 861-863 Request permission

Abstract:

R. Dabrowski introduced certain natural multiplier operators which map from the entropy norm spaces of B. Korenblum into the Hardy space $\operatorname {Re} {H^1}$. We show that the images of the entropy norm spaces in $\operatorname {Re} {H^1}$ do not include all of that space.

References

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