Strong maximal function revisit on Heisenberg group
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We prove the $L^p$-boundedness of the strong maximal operator defined on a Heisenberg group w.r.t an absolutely continuous measure satisfying the product $A_\infty$-property.
💡 Research Summary
The paper investigates the strong maximal operator on the Heisenberg group Hⁿ and establishes its Lᵖ‑boundedness (1 < p < ∞) when the underlying measure is absolutely continuous with respect to Lebesgue measure and its density ω(u,v) satisfies a product A_∞ condition.
Background. The Heisenberg group is equipped with the non‑commutative law
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