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- W14054239 abstract "In this paper we consider the generalized shift operator, generated by the Gegenbauer differential operator $$ G =left(x^2-1right)^{frac{1}{2}-lambda} frac{d}{dx} left(x^2-1right)^{lambda+frac{1}{2}}frac{d}{dx}. $$ Maximal function ($ G- $ maximal function), generated by the Gegenbauer differential operator $ G $ is investigated. The $ L_{p,lambda} $ -boundedness for the $ G- $ maximal function is obtained. The concept of potential of Riesz-Gegenbauer is introduced and for it the theorem of Sobolev type is proved." @default.
- W14054239 created "2016-06-24" @default.
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- W14054239 date "2013-10-25" @default.
- W14054239 modified "2023-10-16" @default.
- W14054239 title "Some aspects of harmonic analysis related to Gegenbauer expansions on the half-line" @default.
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