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math.CA2026
A new proof of maximal theorem on Heisenberg groups
Chuhan Sun, Zipeng Wang
Given , we define \[\begin{array}{lr} \mathbf{M}_αf(u,v,t) = \sup_{ \mathbf{R} \ni (0,0,0)} {\rm vol} \{\mathbf{R}\}^{α-1} \iiint_\mathbf{R}\left|f [(u,v,t)\odot(ξ,η,τ)^{…
math.FA2026
Strong maximal function revisit on Heisenberg group
Chuhan Sun
We prove the -boundedness of the strong maximal operator defined on a Heisenberg group w.r.t an absolutely continuous measure satisfying the product -property.