Analysis Mathematica
Volume 26, Number 4, 287-298, DOI: 10.1023/A:1005687427943

On the Boundedness of Dyadic Hardy and Hardy-Littlewood Operators on the Dyadic Spaces H and BMO

B. I. Golubov

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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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