RT Journal Article
T1 Rellich identities for the Hilbert transform
A1 Carro Rossell, María Jesús
A1 Naibo, Virginia
A1 Soria Carro, María
AB 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.
PB Elsevier
SN 0022-1236
YR 2024
FD 2024
LK https://hdl.handle.net/20.500.14352/130243
UL https://hdl.handle.net/20.500.14352/130243
LA eng
DS Docta Complutense
RD 19 mar 2026