Potential Analysis

, Volume 19, Issue 1, pp 1–33

Potential Operators, Maximal Functions, and Generalizations of A

  • Carlos Pérez
  • Richard L. Wheeden
Article

DOI: 10.1023/A:1022449810008

Cite this article as:
Pérez, C. & Wheeden, R.L. Potential Analysis (2003) 19: 1. doi:10.1023/A:1022449810008

Abstract

We derive weighted norm estimates which relate integral operators of potential type (fractional integrals) to corresponding maximal operators (fractional maximal operators). We also derive norm estimates for the maximal operators. The conditions that we impose on the weights involve A conditions of “content type” which are weaker than the usual A condition. The analysis is carried out in the context of spaces of homogeneous type.

weighted norm estimates fractional integrals maximal functions 

Copyright information

© Kluwer Academic Publishers 2003

Authors and Affiliations

  • Carlos Pérez
    • 1
  • Richard L. Wheeden
    • 2
  1. 1.Departmento de Análisis Matemático, Facultad de MatemáticasUniversidad de SevillaSevillaSpain
  2. 2.Department of MathematicsRutgers UniversityNew BrunswickU.S.A.

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