The bilinear Hilbert trasform is pointwise finite.

@article{Lacey1997,
abstract = {Let f ∈ L∞ and g ∈ L2 be supported on [0,1]. Then the principal value integral below exists in L1.p.v.   ∫ f(x + y) g(x - y) dy / y.},
author = {Lacey, Michael T.},
journal = {Revista Matemática Iberoamericana},
keywords = {Transformada de Hilbert; Integración bilineal; Series de Fourier; Calderón conjecture; Carleson measure; bilinear Hilbert transform},
language = {eng},
number = {2},
pages = {411-469},
title = {The bilinear Hilbert trasform is pointwise finite.},
url = {http://eudml.org/doc/39536},
volume = {13},
year = {1997},
}

TY - JOUR
AU - Lacey, Michael T.
TI - The bilinear Hilbert trasform is pointwise finite.
JO - Revista Matemática Iberoamericana
PY - 1997
VL - 13
IS - 2
SP - 411
EP - 469
AB - Let f ∈ L∞ and g ∈ L2 be supported on [0,1]. Then the principal value integral below exists in L1.p.v.   ∫ f(x + y) g(x - y) dy / y.
LA - eng
KW - Transformada de Hilbert; Integración bilineal; Series de Fourier; Calderón conjecture; Carleson measure; bilinear Hilbert transform
UR - http://eudml.org/doc/39536
ER -