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There is a one parameter family of bilinear Hilbert transforms. Recently, some progress has been made to prove Lp estimates for these operators uniformly in the parameter. In the current article we present some of these techniques in a simplified model...
Thiele, Christoph. "A uniform estimate for quartile operators.." Revista Matemática Iberoamericana 18.1 (2002): 115-134. <http://eudml.org/doc/39650>.
@article{Thiele2002, abstract = {There is a one parameter family of bilinear Hilbert transforms. Recently, some progress has been made to prove Lp estimates for these operators uniformly in the parameter. In the current article we present some of these techniques in a simplified model...}, author = {Thiele, Christoph}, journal = {Revista Matemática Iberoamericana}, keywords = {Transformada de Hilbert; Integrales singulares; Análisis de Fourier; Estimadores; Walsh wave packets; quartile operators; bilinear Hilbert transform}, language = {eng}, number = {1}, pages = {115-134}, title = {A uniform estimate for quartile operators.}, url = {http://eudml.org/doc/39650}, volume = {18}, year = {2002}, }
TY - JOUR AU - Thiele, Christoph TI - A uniform estimate for quartile operators. JO - Revista Matemática Iberoamericana PY - 2002 VL - 18 IS - 1 SP - 115 EP - 134 AB - There is a one parameter family of bilinear Hilbert transforms. Recently, some progress has been made to prove Lp estimates for these operators uniformly in the parameter. In the current article we present some of these techniques in a simplified model... LA - eng KW - Transformada de Hilbert; Integrales singulares; Análisis de Fourier; Estimadores; Walsh wave packets; quartile operators; bilinear Hilbert transform UR - http://eudml.org/doc/39650 ER -