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On Some Theorems of the Dunkl—Lipschitz Class for the Dunkl Transform


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Resumo

Using a generalized spherical mean operator, we obtain a generalization of two theorems 84 and 85 of Titchmarsh for the Dunkl transform for functions satisfying the Dunkl—Lipschitz condition in the space Lp(ℝd, wk(x)dx), where 1 < p ≤ 2.

Sobre autores

Mohamed El Hamma

Laboratoire TAGMD, Faculté des Sciences Aïn Chock

Autor responsável pela correspondência
Email: m_elhamma@yahoo.fr
Marrocos, Maarif, Casablanca

Radouan Daher

Laboratoire TAGMD, Faculté des Sciences Aïn Chock

Autor responsável pela correspondência
Email: rjdaher024@gmail.com
Marrocos, Maarif, Casablanca

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