Hardy Spaces and a Walsh Model for Bilinear Cone Operators
نویسندگان
چکیده
The study of bilinear operators associated to a class of non-smooth symbols can be reduced to the study of certain special bilinear cone operators to which a time frequency analysis using smooth wave-packets is performed. In this paper we prove that when smooth wave-packets are replaced by Walsh wave-packets the corresponding discrete Walsh model for the cone operators is not only Lp-bounded, as Thiele has shown in his thesis for the Walsh model corresponding to the bilinear Hilbert transform, but actually improves regularity as it maps into a Hardy space. The same result is expected to hold for the special bilinear cone operators.
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