- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:43
Revista Matemática Iberoamericana
Rev. Mat. Iberoamericana
RMI
0213-2230
2235-0616
General
10.4171/RMI
http://www.ems-ph.org/doi/10.4171/RMI
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2012)
13
1997
2
The bilinear Hilbert transform is pointwise finite
Michael
Lacey
Georgia Institute of Technology, ATLANTA, UNITED STATES
Let $f \in L^\infty$ and $g \in L^2$ be supported on [0,1]. Then the principal value integral below exists in $L^1$. $$\mathrm {p.v.} \int f(x + y) g (x – y) \frac{dy}{y}.$$
General
411
469
10.4171/RMI/227
http://www.ems-ph.org/doi/10.4171/RMI/227