Maximal operators on spaces of homogeneous type
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- by Gladis Pradolini and Oscar Salinas PDF
- Proc. Amer. Math. Soc. 132 (2004), 435-441 Request permission
Abstract:
We avoid the assumption given in the work of C. Pérez and R. Wheeden (2001) to prove boundedness properties of certain maximal functions in a general setting of the spaces of homogeneous type with infinite measure. In addition, an example shows that the result can be false if the space has finite measure.References
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Additional Information
- Gladis Pradolini
- Affiliation: Department of Mathematics, Universidad Nacional del Litoral, Instituto de Mate- mática Aplicada del Litoral (IMAL), Güemes 3450, 3000 Santa Fe, Argentina
- Email: gprado@math.unl.edu.ar
- Oscar Salinas
- Affiliation: Department of Mathematics, Universidad Nacional del Litoral, Instituto de Mate- mática Aplicada del Litoral (IMAL), Güemes 3450, 3000 Santa Fe, Argentina
- Email: salinas@ceride.gov.ar
- Received by editor(s): July 29, 2002
- Received by editor(s) in revised form: September 30, 2002
- Published electronically: June 30, 2003
- Additional Notes: The authors were supported by Consejo Nacional de Investigaciones Científicas y Técnicas de la República Argentina and Universidad Nacional del Litoral
- Communicated by: Andreas Seeger
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 435-441
- MSC (2000): Primary 42B25
- DOI: https://doi.org/10.1090/S0002-9939-03-07079-5
- MathSciNet review: 2022366