3 papers
math.FA2026
Characterizations of Lorentz Type Sobolev Multiplier Spaces and Their Preduals
Keng Hao Ooi
We provide several characterizations of Sobolev multiplier spaces of Lorentz type and their preduals. Block decomposition and Köthe dual of such preduals are discussed. As an appl…
math.CA2025
Some capacitary strong type inequalities and related function spaces
Keng Hao Ooi, Nguyen Cong Phuc
We verify a conjecture of D. R. Adams on a capacitary strong type inequality that generalizes the classical capacitary strong type inequality of V. G. Maz'ya. As a result, we chara…
math.AP2024
On the Capacities Associated with Local Muckenhoupt Weights
Keng Hao Ooi
We develop a theory of capacities associated with local Muckenhoupt weights. Fundamental properties of local Muckenhoupt weights will be revisited. Weak type boundedness of nonline…