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math.CA2009★ 12 cited
Weak and Strong-type estimates for Haar Shift Operators: Sharp power on the characteristic
Tuomas P. Hytönen, Michael T. Lacey, Maria Carmen Reguera +1
As a corollary to our main result we deduce sharp A_p$ inequalities for T being either the Hilbert transform in dimension d=1, the Beurling transform in dimension d=2, or a Riesz t…
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…