77 citations · 243 across the 38 of their papers we have counts for
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math.CA2009★ 20 cited
Sharp Inequality for Haar Shift Operators
Michael T. Lacey, Stefanie Petermichl, Maria Carmen Reguera
As a corollary to our main theorem we give a new proof of the result that the norm of the Hilbert transform on L^2(w) has norm bounded by a the A_2 characteristic of a weight to th…
math.CA2009★ 11 cited
New estimates for the Beurling-Ahlfors operator on differential forms
Stefanie Petermichl, Leonid Slavin, Brett D. Wick
We establish new -estimates for the norm of the generalized Beurling--Ahlfors transform acting on form-valued functions. Namely, we prove that $\norm{\mathcal{S}}_…