Bernardis, Ana; Salinas, Oscar Two-weight norm inequalities for the fractional maximal operator on spaces of homogeneous type. (English) Zbl 0846.42013 Stud. Math. 108, No. 3, 201-207 (1994). Authors’ abstract: “ We give a characterization of the pairs of weights \((v, w)\), with \(w\) in the class \(A_\infty\) of Muckenhoupt, for which the fractional maximal function is a bounded operator from \(L^p (X, v d\mu)\) to \(L^q (X, w d\mu)\) when \(1< p\leq q< \infty\) and \(X\) is a space of homogeneous type. Reviewer: Yu.Lyubarskij (Khar’kov) Cited in 13 Documents MSC: 42B25 Maximal functions, Littlewood-Paley theory 43A85 Harmonic analysis on homogeneous spaces Keywords:Muckenhoupt condition; Calderón-Zygmund decomposition; fractional maximal function; space of homogeneous type PDFBibTeX XMLCite \textit{A. Bernardis} and \textit{O. Salinas}, Stud. Math. 108, No. 3, 201--207 (1994; Zbl 0846.42013) Full Text: DOI EuDML