The Weak Type (1,1) Estimates of Maximal Functions on the Laguerre Hypergroup
- Autores: Jizheng Huang, Liu Heping
- Localización: Canadian mathematical bulletin, ISSN 0008-4395, Vol. 53, Nº 3, 2010, págs. 491-502
- Idioma: inglés
- DOI: 10.4153/cmb-2010-058-6
- Enlaces
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Resumen
In this paper, we discuss various maximal functions on the Laguerre hypergroup K including the heat maximal function, the Poisson maximal function, and the Hardy-Littlewood maximal function which is consistent with the structure of hypergroup of K. We shall establish the weak type (1,1) estimates for these maximal functions. The Lp estimates for p > 1 follow from the interpolation. Some applications are included.
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