3 papers
math.AP2025
Stochastic Partial Differential Equations Associated with Pseudo-Differential Operators and Hilbert Space-Valued Gaussian Processes
Un Cig Ji, Jae Hun Kim
In this paper, we prove the unique existence and investigate the -regularity of solutions to stochastic partial differential equations in Hilbert spaces associated with pseu…
math.AP2025
A Generalization of Littlewood-Paley Type Inequality for Evolution Systems Associated with Pseudo Differential Operators
Un Cig Ji, Jae Hun Kim
In this paper, we first prove that the Littlewood-Paley -function, related to the convolution corresponding to the composition of pseudo-differential operator and evolution syst…
math.AP2025
Littlewood-Paley Type Inequality for Evolution Systems Associated with Pseudo-Differential Operators
Un Cig Ji, Jae Hun Kim
In this paper, we first prove that the kernel of convolution operator, corresponding the composition of pseudo-differential operator and evolution system associated with the symbol…