Artículos de revistas
Powers of distances to lower dimensional sets as Muckenhoupt weights
Aimar, Hugo Alejandro; Carena, Marilina; Duran, Ricardo Guillermo; Toschi, Marisa; Powers of distances to lower dimensional sets as Muckenhoupt weights; Springer; Acta Mathematica Hungarica; 143; 1; 2-2014; 119-137
Aimar, Hugo Alejandro
Duran, Ricardo Guillermo
Let (X,d,mu) be an Ahlfors metric measure space. We give sufficient conditions on a closed set Fsubseteq X and on a real number eta in such a way that d(x,F)^beta becomes a Muckenhoupt weight. We give also some illustrations to regularity of solutions of partial differential equations and regarding some classical fractals.