On the Hormander classes of bilinear pseudodifferential operators II Arpad BenyiFrederic BernicotDiego MaldonadoVirginia NaiboRodolfo Torres 35S0547G3042B1542B20Bilinear pseudodi erential operatorsbilinear Hormander classessymbolic calculusCalderon-Zygmund theory. Boundedness properties for pseudodifferential operators with symbols in the bilinear H\"ormander classes of sufficiently negative order are proved. The results are obtained in the scale of Lebesgue spaces, and in some cases, end-point estimates involving weak-type spaces and BMO are provided as well. From the Lebesgue space estimates, Sobolev ones are then easily obtained using functional calculus and interpolation. In addition, it is shown that, in contrast with the linear case, operators associated with symbols of order zero may fail to be bounded on products of Lebesgue spaces. Indiana University Mathematics Journal 2013 text pdf 10.1512/iumj.2013.62.5168 10.1512/iumj.2013.62.5168 en Indiana Univ. Math. J. 62 (2013) 1733 - 1764 state-of-the-art mathematics http://iumj.org/access/