Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415132 | Journal of Functional Analysis | 2014 | 14 Pages |
Abstract
Let Mnf denote the strong maximal function of f on Rn, that is the maximal average of f with respect to n-dimensional rectangles with sides parallel to the coordinate axes. For any dimension n⩾2 we prove the natural endpoint Fefferman-Stein inequality for Mn and any strong Muckenhoupt weight w:w({xâRn:Mnf(x)>λ})â²w,nâ«Rn|f(x)|λ(1+(log+|f(x)|λ)nâ1)Mnw(x)dx. This extends the corresponding two-dimensional result of T. Mitsis.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Teresa Luque, Ioannis Parissis,