This article is cited in 1 paper

Generalization of Titchmarsh' s theorem for the first Hankel-Clifford transform in the space {\boldmath${L^{p}_{\mu}}((0,+\infty))$}

M. El Hamma, A. Mahfoud

Laboratoire Mathématiques Fondamentales et appliquées, Faculté des Sciences Aïn Chock, Université Hassan II, Casablanca, Maroc

Abstract: Using a generalized translation operator, we intend to establish generalizations of the Titchmarsh theorem ([ref14], theorem 84) for the first Hankel-Clifford transform for certain classes of functions in the space $L^{p}_{\mu}((0,+\infty))$, where $1<p\leq 2$.

Keywords: first Hankel-Clifford transform, generalized translation operator, Clifford-Lipschitz class, Dini-Clifford-Lipschitz class.

UDC: 517.98

MSC: 47G30

Received: 21.05.2022
Revised: 30.08.2022
Accepted: 02.09.2022

DOI: 10.15393/j3.art.2022.11851

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