Resumen de Rough maximal bilinear singular integrals

Eva Buriánková, Petr Honzík

• We study the rough maximal bilinear singular integral ?∗?(?,?)(?)=sup?>0∣∣∣∣∫ℝ?∖?(0,?)∫ℝ?∖?(0,?)?((?,?)/|(?,?)|)|(?,?)|2??(?−?)?(?−?)????∣∣∣∣, where ? is a function in ?∞(?2?−1) with vanishing integral. We prove it is bounded from ??×??→??, where 1