Besov-Hankel norms in terms of the continuous Bessel wavelet transform

Ashish Pathak, Dileep Kumar
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引用次数: 1

Abstract

Using the theory of continuous Bessel wavelet transform in $L^2 (\mathbb{R})$-spaces, we established the Parseval and inversion formulas for the $L^{p,\sigma}(\mathbb{R}^+)$- spaces. We investigate continuity and boundedness properties of Bessel wavelet transform in Besov-Hankel spaces. Our main results: are the characterization of Besov-Hankel spaces by using continuous Bessel wavelet coefficient.
用连续贝塞尔小波变换表示的贝索夫-汉克尔范数
利用L^2(\mathbb{R})$-空间的连续贝塞尔小波变换理论,建立了L^{p,\sigma}(\mathbb{R} +)$-空间的Parseval和反演公式。研究Besov-Hankel空间中bessel小波变换的连续性和有界性。我们的主要成果是利用连续贝塞尔小波系数对Besov-Hankel空间进行表征。
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