4 papers
-Boundedness of a Class of Bi-Parameter Pseudo-Differential Operators
Jinhua Cheng
In this paper, we explore a specific class of bi-parameter pseudo-differential operators characterized by symbols falling within the product-type Hörmander…
-boundedness of multi-parameter Fourier integral operators
Jinhua Cheng
We study a specific class of Fourier integral operators characterized by symbols belonging to the multi-parameter Hörmander class $\mathbf{S}^m(\R^{ n_1} \times \R^{ n_2} \times \…
On Some Multipliers Related to Discrete Fractional Integrals
Jinhua Cheng
This paper explores the properties of multipliers associated with discrete analogues of fractional integrals, revealing intriguing connections with Dirichlet characters, Euler's id…
A class of multi-parameter Fourier integral operators: endpoint Hardy space bounds
Jinhua Cheng
In this paper we study a class of Fourier integral operators, whose symbols lie in the multi-parameter Hörmander class $S^{\vec m}( \mathbb{R}^\vn)$, where ~$\vec m=(m_1,m_2,\dots…