%0 Journal Article
%A Carro Rossell, María Jesús
%A Naibo, Virginia
%A Soria Carro, María
%T Rellich identities for the Hilbert transform
%D 2024
%@ 0022-1236
%U https://hdl.handle.net/20.500.14352/130243
%X We prove Hilbert transform identities involving conformal maps via the use of Rellich identity and the solution of the Neumann problem in a graph Lipschitz domain in the plane. We obtain as consequences new  weighted estimates for the Hilbert transform, including a sharp bound for its norm as a bounded operator in weighted in terms of a weight constant associated to the Helson-Szegö theorem.
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