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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.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…