Journal
ANALYSIS MATHEMATICA
Volume 46, Issue 1, Pages 119-131Publisher
SPRINGER INT PUBL AG
DOI: 10.1007/s10476-020-0021-2
Keywords
Vilenkin group; Hardy space; maximal operator
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It is known that the maximal operator sigma* integral is of type (H-p,L-p) if the Vilenkin group G is bounded and p>12. We prove a maximal converse inequality which characterizes the space H-p by means of the operator sigma(dagger)integral:= sup(n) |sigma M-n integral|, for bounded groups.
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