Global maximal inequality to a class of oscillatory integrals.
In the present paper, we give the global  estimates for maximal operators generated by multiparameter oscillatory integral  , which is defined by   where  and f is a Schwartz function in  ,  ,  ,   is a function on  , which has a suitable growth condition. These estimates are apparently good extensions to the results of Sjölin and Soria (J. Math. Anal. Appl 411:129-143, 2014) for the multiparameter fractional Schrödinger equation.
['Xue|Ying|Y|', 'Niu|Yaoming|Y|']
Maximal operator Multiparameter oscillatory integrals Global estimate Local estimate