The authors prove the L^p-L^q boundedness of the fractional maximal operator M_alpha on the Heisenberg group for alpha = 1/p - 1/q by applying the Córdoba-Fefferman geometric covering lemma.
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2 Pith papers cite this work, alongside 56 external citations. Polarity classification is still indexing.
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math.CA 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
A parametrized family of strong fractional maximal operators is bounded from L^p to L^q for 1 < p ≤ q < ∞.
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A new proof of maximal theorem on Heisenberg groups
The authors prove the L^p-L^q boundedness of the fractional maximal operator M_alpha on the Heisenberg group for alpha = 1/p - 1/q by applying the Córdoba-Fefferman geometric covering lemma.
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On a family of strong fractional maximal operators
A parametrized family of strong fractional maximal operators is bounded from L^p to L^q for 1 < p ≤ q < ∞.