Details

Autor(en) / Beteiligte

• Ombrosi, Sheldy

Titel

Weak weighted inequalities for a dyadic one-sided maximal function in \mathbb{R}^{n}

Ist Teil von

• Proceedings of the American Mathematical Society, 2005-06, Vol.133 (6), p.1769-1775

Erscheinungsjahr

2005

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In this note we introduce a dyadic one-sided maximal function defined as M^{+,d}f(x)=\sup_{Q\;dyadic\text{:}x\in Q}\frac{1}{\left| Q\right| } \int_{Q^{+}}\left| f\right| , where Q^{+} is a certain cube associated with the dyadic cube Q and f\in L_{loc}^{1}\left( \mathbb{R}^{n}\right) . We characterize the pair of weights \left( w,v\right) for which the maximal operator M^{+,d} applies L^{p}\left( v\right) into weak- L^{p}\left( w\right) for 1\leq p<\infty .