Abstract
AbstractThe generalized Beurling–Ahlfors operator S on Lp(ℝn; Λ), where Λ := Λ(ℝn) is the exterior algebra with its natural Hilbert space norm, satisfies the estimateThis improves on earlier results in all dimensions n ≥ 3. The proof is based on the heat extension and relies at the bottom on Burkholder's sharp inequality for martingale transforms.
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