WEIGHTED INTEGRABILITY RESULTS FOR FIRST HANKEL-CLIFFORD TRANSFORM

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