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Maximal operators on spaces of homogeneous type |
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| Authors: | Gladis Pradolini Oscar Salinas |
| Institution: | Department of Mathematics, Universidad Nacional del Litoral, Instituto de Mate- mática Aplicada del Litoral (IMAL), Güemes 3450, 3000 Santa Fe, Argentina ; Department of Mathematics, Universidad Nacional del Litoral, Instituto de Mate- mática Aplicada del Litoral (IMAL), Güemes 3450, 3000 Santa Fe, Argentina |
| 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. |
| Keywords: | Maximal operator spaces of homogeneous type |
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