<i>L</i> <sup> <i>p</i> </sup> boundedness of rough bi-parameter Fourier integral operators
<i>L</i> <sup> <i>p</i> </sup> boundedness of rough bi-parameter Fourier integral operators
Abstract In this paper, we will investigate the boundedness of the bi-parameter Fourier integral operators (or FIOs for short) of the following form: <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mrow> <m:mrow> <m:mi>T</m:mi> <m:mo></m:mo> <m:mrow> <m:mo>(</m:mo> <m:mi>f</m:mi> <m:mo>)</m:mo> </m:mrow> <m:mo></m:mo> <m:mrow> <m:mo>(</m:mo> <m:mi>x</m:mi> <m:mo>)</m:mo> </m:mrow> </m:mrow> <m:mo>=</m:mo> <m:mrow> <m:mfrac> <m:mn>1</m:mn> <m:msup> <m:mrow> <m:mo>(</m:mo> <m:mrow> …