2 papers
math.CA2024
A multi-parameter family of Fourier integral operators
Mengmeng Dou, Zipeng Wang, Jiashu Zhang
We study a new class of Fourier integral operators defined in R^N. Their symbols are allowed to satisfy a differential inequality with certain multi-parameter characteristic. We pr…
math.CA2024
Homogeneous Besov Spaces in Dunkl setting
Mengmeng Dou, Jiashu Zhang
The purpose of this paper is to characterize the homogeneous Besov space in the Dunkl setting. We utilize a new discrete reproducing formula, that is, the building blocks are diffe…