We consider two Hilbert transforms, with real phases a and b, smoothly truncated at where k (0) is a non-negative integer. We decode the operator resulting from composing one of them with the adjoint of the other one. Then the case of a similarly truncated Carleson operator is dealt with. The case of Hilbert transforms, as well as the Carleson operator, truncated away from the origin is also considered. An application is mentioned.
Prestini, E., Wang, S. (2012). PP* estimates for the truncated Carleson operator. MONATSHEFTE FÜR MATHEMATIK, 167(3-4), 571-581 [10.1007/s00605-012-0386-9].
PP* estimates for the truncated Carleson operator
PRESTINI, ELENA;
2012-01-01
Abstract
We consider two Hilbert transforms, with real phases a and b, smoothly truncated at where k (0) is a non-negative integer. We decode the operator resulting from composing one of them with the adjoint of the other one. Then the case of a similarly truncated Carleson operator is dealt with. The case of Hilbert transforms, as well as the Carleson operator, truncated away from the origin is also considered. An application is mentioned.File in questo prodotto:
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