×

zbMATH — the first resource for mathematics

A characterization of some weighted norm inequalities for the fractional maximal function. (English) Zbl 0809.42009
Summary: A new characterization is given for the pairs of weight functions \(v\), \(w\) for which the fractional maximal function is a bounded operator from \(L^ p_ v(X)\) to \(L^ q_ w(X)\) when \(1< p< q<\infty\) and \(X\) is a homogeneous space with a group structure. The case when \(X\) is the \(n\)- dimensional Euclidean space is included.

MSC:
42B25 Maximal functions, Littlewood-Paley theory
PDF BibTeX XML Cite
Full Text: DOI EuDML