A multivariable version of the strong maximal function is introduced and a sharp distributional estimate for this operator in the spirit of the Jessen, Marcinkiewicz, and Zygmund theorem is obtained. Conditions that characterize the boundedness of this multivariable operator on products of weighted Lebesgue spaces equipped with multiple weights are obtained. Results for other multi(sub)linear maximal functions associated with bases of open sets are studied too. Bilinear interpolation results between distributional estimates, such as those satisfied by the multivariable strong maximal function, are also proved.National Science Foundation (United States)Ministerio de Ciencia e InnovaciónUniversity of Kansa
summary:In this lecture we will discuss the weighted boundedness problem for various integral operat...
summary:In this lecture we will discuss the weighted boundedness problem for various integral operat...
summary:The classical Hardy-Littlewood maximal operator is bounded not only on the classical Lebesgu...
A multi(sub)linear maximal operator that acts on the product of m Lebesgue spaces and is smaller tha...
The study of the almost everywhere convergence of the product of m Cesàro-α averages leads to the ch...
A strong version of the Orlicz maximal operator is introduced and a natural Bp condition for the rec...
AbstractA multi(sub)linear maximal operator that acts on the product of m Lebesgue spaces and is sma...
Abstract. A multi(sub)linear maximal operator that acts on the product of m Lebesgue spaces and is s...
A multi(sub)linear maximal operator that acts on the product of m Lebesgue spaces and is smaller tha...
AbstractA multi(sub)linear maximal operator that acts on the product of m Lebesgue spaces and is sma...
A formulation of the Carleson embedding theorem in the multilinear setting is proved which allows ...
Let Mnf denote the strong maximal function of f on Rn, that is the maximal average of f with respec...
AbstractIn this article we prove weighted norm inequalities and pointwise estimates between the mult...
In this paper we introduce and study a bilinear spherical maximal function of product type in the sp...
AbstractLet T be a bounded linear, or sublinear, operator from Lp(Y) to Lq(X). A maximal operator T*...
summary:In this lecture we will discuss the weighted boundedness problem for various integral operat...
summary:In this lecture we will discuss the weighted boundedness problem for various integral operat...
summary:The classical Hardy-Littlewood maximal operator is bounded not only on the classical Lebesgu...
A multi(sub)linear maximal operator that acts on the product of m Lebesgue spaces and is smaller tha...
The study of the almost everywhere convergence of the product of m Cesàro-α averages leads to the ch...
A strong version of the Orlicz maximal operator is introduced and a natural Bp condition for the rec...
AbstractA multi(sub)linear maximal operator that acts on the product of m Lebesgue spaces and is sma...
Abstract. A multi(sub)linear maximal operator that acts on the product of m Lebesgue spaces and is s...
A multi(sub)linear maximal operator that acts on the product of m Lebesgue spaces and is smaller tha...
AbstractA multi(sub)linear maximal operator that acts on the product of m Lebesgue spaces and is sma...
A formulation of the Carleson embedding theorem in the multilinear setting is proved which allows ...
Let Mnf denote the strong maximal function of f on Rn, that is the maximal average of f with respec...
AbstractIn this article we prove weighted norm inequalities and pointwise estimates between the mult...
In this paper we introduce and study a bilinear spherical maximal function of product type in the sp...
AbstractLet T be a bounded linear, or sublinear, operator from Lp(Y) to Lq(X). A maximal operator T*...
summary:In this lecture we will discuss the weighted boundedness problem for various integral operat...
summary:In this lecture we will discuss the weighted boundedness problem for various integral operat...
summary:The classical Hardy-Littlewood maximal operator is bounded not only on the classical Lebesgu...