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JOURNALS // Problemy Analiza — Issues of Analysis // Archive

Probl. Anal. Issues Anal., 2023 Volume 12(30), Issue 2, Pages 107–117 (Mi pa379)

This article is cited in 1 paper

Weighted integrability results for first Hankel-Clifford transform

S. S. Volosivets

Saratov State University, 83 Astrakhanskaya St., Saratov 410012, Russia

Abstract: We obtain sufficient conditions for the weighted integrability of the first Hankel-Clifford transforms of functions from generalized integral Lipschitz classes. These conditions are analogues and generalization of well-known Titchmarsh conditions for the classical Fourier transform.

Keywords: first Hankel-Clifford transform, Hankel-Clifford translation, generalized Lipschitz spaces, weighted integrability.

UDC: 517.544

MSC: 44A15, 47A10

Received: 04.01.2023
Revised: 16.03.2023

Language: English

DOI: 10.15393/j3.art.2023.13050



© Steklov Math. Inst. of RAS, 2025