Two-weight norm inequalities for fractional maximal operators on spaces of generalized homogeneous type
A characterization is given for pairs of weights \((w,v)\) for which the fractional maximal operators are bounded from \(L^p(X,wd\mu)\) to \(L^q(X,vd\mu)\) when \(1<p\leq q \leq \infty\) and \(X\) is a space of generalized homogeneous type introduced by \textit{A.Carbery, J.Vance, S.Waigner} and \textit{J.Wright} [J. Funct. Anal. 132, No. 1, 119-140 (1995; Zbl 0912.42011)].
scientific article; zbMATH DE number 1912014