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.
2012
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/05 - ANALISI MATEMATICA
English
Senza Impact Factor ISI
Hilbert transform; Dirac delta function; Carleson operator
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].
Prestini, E; Wang, S
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/90047
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