Vector valued bilinear maximal operator and method of rotations

In this paper we obtain a bilinear analogue of Fefferman–Steinʼs vector valued inequality for classical Hardy–Littlewood maximal function. Also, we prove the boundedness of bilinear Hardy–Littlewood maximal operator from Lp1(Rn)×Lp2(Rn)→L1(Rn), where , by applying the method of rotations.