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Weighted Norm Inequalitiesfor the Local Sharp MaximalFunction
Authors:A.K.?Lerner  mailto:aklerner@netvision.net.il"   title="  aklerner@netvision.net.il"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:(1) Department of Mathematics, Bar-Ilan University, Ramat-Gan 52900, Israel
Abstract:
A weighted norm inequality for the local sharp maximal function M# lambdaf is proved. Our main result along with the extrapolation theorem by D. Cruz-Uribe and C. Perez is appliedto obtaining several new weighted norm inequalities for maximal functions and singular integrals.Several open problems are given.
Keywords:
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