Lp estimates for non smooth bilinear Littlewood-Paley square functions on R

Details Lp estimates for non smooth bilinear Littlewood-Paley square functions on R Lp estimates for non smooth bilinear Littlewood-Paley square functions on R

2008-11-18

arxiv.org/abs/0811.2854v1

Mathematics

Functional Analysis

33 pages

Scientific paper

In this work, some non smooth bilinear analogues of linear Littlewood-Paley
square functions on the real line are studied. These bilinear operators are
closely related to the bilinear Hilbert transforms and vector valued version of
these ones. Mainly we prove boundedness-properties in Lebesgue spaces for them.

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