Abstract
There is a one parameter family of bilinear Hilbert transforms. Recently, some progress has been made to prove $L^p$ estimates for these operators uniformly in the parameter. In the current article we present some of these techniques in a simplified model: we prove the estimate $L^2\times L^2\to L^{1,\infty}$ uniformly for a discrete family of model operators for the bilinear Hilbert transform.
Citation
Christoph Thiele. "A uniform estimate for quartile operators." Rev. Mat. Iberoamericana 18 (1) 115 - 134, March, 2002.
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