Article ID: MTJPAM-D-21-00029

Title: On estimates for the first Hankel-Clifford transform


Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-21-00029; Volume 4 / Issue 1 / Year 2022, Pages 23-30

Document Type: Research Paper

Author(s): Mohamed El Hamma a , Radouan Daher b , Hasnaa Lahmadi c

aUniversité Hassan II, Faculté des Sciences Aïn Chock, Département de mathématiques et informatique, Laboratoire Topologie, Algèbre, Géométrie et Mathématiques Discrètes, Casablanca, Maroc

bUniversité Hassan II, Faculté des Sciences Aïn Chock, Département de mathématiques et informatique, Laboratoire Topologie, Algèbre, Géométrie et Mathématiques Discrètes, Casablanca, Maroc

cUniversité Hassan II, Faculté des Sciences Aïn Chock, Département de mathématiques et informatique, Laboratoire Topologie, Algèbre, Géométrie et Mathématiques Discrètes, Casablanca, Maroc

Received: 27 April 2021, Accepted: 28 August 2021, Published: 18 September 2021.

Corresponding Author: Mohamed El Hamma (Email address: m_elhamma@yahoo.fr)

Full Text: PDF

Abstract

In this work, we obtain new inequalities for the first Hankel-Clifford transform in the space L2((0, +∞), xμ),  μ ≥ 0, using a generalized translation operator for proving these estimates in certain classes of functions characterized by a generalized continuity modulus.

Keywords: First Hankel-Clifford transform, generalized translation operator

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