An explicit formula for the quaternionic Cauchy-Szegő kernel is derived and used to prove Calderón-Zygmund kernel estimates, a pointwise kernel lower bound, and BMO/VMO commutator characterizations on the quaternionic Heisenberg group.
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An explicit formula of Cauchy--Szeg\"{o} kernel for quaternionic Siegel upper half space and applications
An explicit formula for the quaternionic Cauchy-Szegő kernel is derived and used to prove Calderón-Zygmund kernel estimates, a pointwise kernel lower bound, and BMO/VMO commutator characterizations on the quaternionic Heisenberg group.