A unifying approach for certain class of maximal functions

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We establish Lp estimates for certain class of maximal functions with kernels in Lq ( S n-1). As a consequence of such Lp estimates, we obtain the Lp boundedness of our maximal functions when their kernels are in L( logL) 1/2 ( S n-1) or in the block space Bq 0,-1/2 ( S n-1), q>1. Several applications of our results are also presented.

Original languageEnglish
Article number56272
JournalJournal of Inequalities and Applications
Publication statusPublished - 2006


ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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