The uncentred maximal operator over half-balls on Damek-Ricci spaces is bounded on L^p for all p in (1,∞] and satisfies a sharp L log L distributional inequality.
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Uncentred maximal operators with respect to half balls on Damek--Ricci spaces
The uncentred maximal operator over half-balls on Damek-Ricci spaces is bounded on L^p for all p in (1,∞] and satisfies a sharp L log L distributional inequality.