11 citations · 26 across the 13 of their papers we have counts for
15 papers
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…
Universal potential estimates for
Quoc-Hung Nguyen, Nguyen Cong Phuc
We extend the so-called universal potential estimates of the Kuusi-Mingione type (J.Funct. Anal. 2012) to the singular case for the quasilinear equation with measur…
A comparison estimate for singular -Laplace equations and its consequences
Quoc-Hung Nguyen, Nguyen Cong Phuc
Comparison estimates are an important technical device in the study of regularity problems for quasilinear possibly degenerate elliptic and parabolic equations. Such tools have bee…
BMO solutions to quasilinear equations of -Laplace type
Nguyen Cong Phuc, Igor E. Verbitsky
We give necessary and sufficient conditions for the existence of a BMO solution to the quasilinear equation in , , where is a locally finit…
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…
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…