3 papers
math.CA2026
Caffarelli-Kohn-Nirenberg Inequalities in Weak Lebesgue Spaces
Dinghuai Wang
By employing harmonic analysis techniques, we derive weak-type Caffarelli-Kohn-Nirenberg inequalities under natural parameter conditions. A key feature of these weak-type versions…
math.AP2025
Global small data weak solutions of 2-D semilinear wave equations with scale-invariant damping, I
Li Qianqian, Wang Dinghuai, Yin Huicheng
There is an interesting open question: for the -D () semilinear wave equation with scale-invariant damping , where $t\ge 1…
math.CA2025
Properties and applications of partial multiple weights for fractional integrals
Wang Dinghuai, Yin Huicheng
In this paper, through the introduction of partial multiple weights, we firstly study the related Rubio de Francia extrapolation theorem within the framework of partial Muckenhoupt…