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math.CA2018★ 5 cited
A maximal function characterization of absolutely continuous measures and Sobolev functions
Elia Bruè, Quoc-Hung Nguyen, Giorgio Stefani
In this note, we give a new characterisation of Sobolev functions among functions via Hardy-Littlewood maximal function. Exploiting some ideas coming from the proof…
math.CA2016★ 1 cited
The violation of a uniqueness theorem and an invariant in the application of Poincaré--Perron theorem to Heun's equation
Yoon-Seok Choun
The domain of convergence of a Heun function obtained through the Poincaré--Perron (P--P) theorem is not absolute convergence but conditional one [2]. We show that a uniqueness the…