The Journal of Geometric Analysis

, Volume 27, Issue 1, pp 120–141 | Cite as

Two-Weight Norm Inequalities for the Local Maximal Function

  • M. Ramseyer
  • O. SalinasEmail author
  • B. Viviani


For a local maximal function defined on a certain family of cubes lying “well inside” of \(\Omega \), a proper open subset of \({\mathbb {R}}^n\), we characterize the couple of weights (uv) for which it is bounded from \(L^p(v)\) on \(L^q(u)\).


Bounded Mean Oscillation Fractional Integral Variable Exponent 

Mathematics Subject Classification

Primary 42B35 



This research is partially supported by Grants from Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET) and Facultad de Ingeniería Química Universidad Nacional del Litoral (UNL), Argentina.


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Copyright information

© Mathematica Josephina, Inc. 2016

Authors and Affiliations

  1. 1.Instituto de Matemática Aplicada del Litoral, FIQUNL, CONICETSanta FeArgentina

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