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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.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…