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math.AP2026
A Weighted Bossel-Daners Transfer Principle and a Pure-Power Robin Faber-Krahn Inequality
Tan Duc Do, Nguyen Ngoc Trong, Nguyen Ngoc Huy Truong
We prove a weighted Bossel-Daners transfer principle for the first Robin eigenvalue of the -Laplacian under , where . The argument combines double-densit…
math.FA2026
Capacitary domination and Fefferman--Phong inequalities for measure potentials on -PI spaces
Tan Duc Do
Let be an unbounded complete doubling metric measure space supporting a weak -Poincaré inequality, and let be a positive Radon measure. For a ball ,…
math.FA2026
Ambient Hardy--Littlewood Maximal Functions on Weighted Musielak--Orlicz Spaces over Domains
Tan Duc Do
We study the ambient-domain Hardy--Littlewood maximal operator \[ \mathcal M_Ωf(x) := \sup_{B\ni x}\frac1{|B|}\int_{B\capΩ}|f(y)|\,dy, \qquad x\inΩ \] on weighted Musielak--Orlicz…