hardy-littlewood maximal operator 1musielak-orlicz spaces 1sobolev space density 1variable exponent analysis 1weighted inequalities 1
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math.FA2026
Mixed Poincaré and Fefferman--Phong inequalities for measure potentials on -PI spaces
Tan Duc Do
We prove a fixed-outer-domain content--capacity estimate for every positive codimensional gain on an unbounded complete -PI space. As its principal measure-theoretic consequence…
math.FA2026
Ambient Hardy--Littlewood Maximal Functions on Weighted Musielak--Orlicz Spaces over Domains
Tan Duc Do
The paper investigates the boundedness of the ambient Hardy–Littlewood maximal operator on weighted Musielak–Orlicz spaces defined over arbitrary open subsets of ℝⁿ, establishing s…