Anh Xuan Do

activity

20232026

most cited

L^{p}

-Caffarelli-Kohn-Nirenberg inequalities and their stabilities

2 citations · 2 across the 8 of their papers we have counts for

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Showing 2024Show all

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math.AP2024

Sobolev interpolation inequalities with optimal Hardy-Rellich inequalities and critical exponents

Nguyen Anh Dao, Anh Xuan Do, Nguyen Lam +1

We establish a new family of the critical higher order Sobolev interpolation inequalities for radial functions as well as for non-radial functions. These Sobolev interpolation ineq…

math.AP2024

Scale-Dependent Poincaré inequalities, log-Sobolev inequality and the stability of the Heisenberg Uncertainty Principle on the hyperbolic space

Anh Xuan Do, Debdip Ganguly, Nguyen Lam +1

We establish a general scale-dependent Poincaré-Hardy type identity involving a vector field on the hyperbolic space. By choosing suitable parameter, potential and vector field in…