3 papers
math.CA2024
Regularity of Fourier integrals on product spaces
Chaoqiang Tan, Zipeng Wang
We study a family of Fourier integral operators by allowing their symbols to satisfy a multi-parameter differential inequality on R^N. We show that these operators of order -(N-1)/…
math.FA2024
Boundedness of New Type Fourier Integral Operators with Product Structure
Chaoqiang Tan, Zipeng Wang
We investigate a class of Fourier integral operators with weakened symbols, which satisfy a multi-parameter differential inequality in . We establish that these operators ret…
math.FA2023
Singular integrals with product kernels associated with mixed homogeneities and Hardy spaces
Yongsheng Han, Steven Krantz, Chaoqiang Tan
This paper is motivated by Phong and Stein's paper on non-standard singular integrals with mixed homogeneities. Our purpose is to study these new non-standard convolution singular…