Besov-type spaces for the κ-Hankel wavelet transform on the real line

Abstract

In this paper, we shall introduce functions spaces as subspaces of Lpκ (ℝ) that we call Besov-κ-Hankel spaces and extend the concept of κ-Hankel wavelet transform in Lpκ(ℝ) space. Subsequently we will characterize the Besov-κ-Hankel space by using κ-Hankel wavelet coefficients.

Keywords

• besov κ -hankel space
• continuous κ -hankel wavelet transform
• κ -hankel transform
• κ -hankel convolution
• 33a40
• 44a05
• 42c40