2000 character limit reached
Boundedness of New Type Fourier Integral Operators with Product Structure (2408.03211v1)
Published 6 Aug 2024 in math.FA
Abstract: We investigate a class of Fourier integral operators with weakened symbols, which satisfy a multi-parameter differential inequality in $\Rn$. We establish that these operators retain the classical $Lp$ boundedness and the $H1$ to $L1$ boundedness. Notably, the Hardy space considered here is the traditional single-parameter Hardy space rather than a product Hardy space.