Necessary and Sufficient Conditions for the Boundedness of Dunkl‐Type Fractional Maximal Operator in the Dunkl‐Type Morrey Spaces

Emin Guliyev, Ahmet Eroglu and Yagub Mammadov

Abstract and Applied Analysis, 2010, vol. 2010, issue 1

Abstract: We consider the generalized shift operator, associated with the Dunkl operator Λα(f)(x) = (d/dx)f(x)+((2α + 1)/x)((f(x) − f(−x))/2), α > −1/2. We study the boundedness of the Dunkl‐type fractional maximal operator Mβ in the Dunkl‐type Morrey space Lp,λ,α(ℝ), 0 ≤ λ

Date: 2010
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https://doi.org/10.1155/2010/976493

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:976493

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