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math.CA2020
On a capacitary strong type inequality and related capacitary estimates
Keng Hao Ooi, Nguyen Cong Phuc
We establish a Maz'ya type capacitary inequality which resolves a special case of a conjecture by David R. Adams. As a consequence, we obtain several equivalent norms for Choquet i…
math.AP2020
Characterizations of predual spaces to a class of Sobolev multiplier type spaces
Keng Hao Ooi, Nguyen Cong Phuc
We characterize preduals and Köthe duals to a class of Sobolev multiplier type spaces. Our results fit in well with the modern theory of function spaces of harmonic analysis and ar…