Abstract
Dyadic analogs of the integral Hardy and Hardy-Littlewood operators on R + are introduced. It is proved that the first of them is bounded on the dyadic Hardy space H d (R +), while the second one is bounded on the dyadic space BMO d (R +) of functions of bounded mean oscillation on R +.
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Golubov, B.I. On the Boundedness of Dyadic Hardy and Hardy-Littlewood Operators on the Dyadic Spaces H and BMO. Analysis Mathematica 26, 287–298 (2000). https://doi.org/10.1023/A:1005687427943
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DOI: https://doi.org/10.1023/A:1005687427943