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Pointwise and integral estimates for the fractional integrals on the Laguerre hypergroup. (English) Zbl 1254.43009

The authors obtain pointwise and norm estimates for fractional maximal functions and fractional integral operators on \(L^p\) of the Laguerre hypergroup.

MSC:

43A62 Harmonic analysis on hypergroups
42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.)
42B25 Maximal functions, Littlewood-Paley theory
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