A half-ball version of the uncentred maximal operator on Damek-Ricci spaces is bounded on L^p for p > 1 and satisfies an L log L weak-type estimate at the endpoint.
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Uncentred maximal operators with respect to half balls on Damek--Ricci spaces
A half-ball version of the uncentred maximal operator on Damek-Ricci spaces is bounded on L^p for p > 1 and satisfies an L log L weak-type estimate at the endpoint.