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

Ashish Pathak, Dileep Kumar

Type: Preprint

Publication Date: 2021-09-25

Citations: 1

DOI: https://doi.org/10.22541/au.163257138.88871318/v1

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.

Locations

arXiv (Cornell University) - View - PDF
Authorea (Authorea) - View - PDF

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Works Cited by This (7)

Action	Title	Year	Authors
+ PDF Chat	On the Besov-Hankel spaces	1998	Jorge J. Betancor Lourdes Rodrı́guez-Mesa
+	Lpμ-Boundedness of the Pseudo-differential Operator Associated with the Bessel Operator	2001	R. S. Pathak S. K. Upadhyay
+	Variation diminishing Hankel transforms	1960	I. I. Hirschman
+ PDF Chat	Integral equations associated with Hankel convolutions	1965	Deborah Tepper Haimo
+	A Treatise on the Theory of Bessel Functions.	1923	Matthew Porter G. N. Watson
+	Integrability of the continuum Bessel wavelet kernel	2015	S. K. Upadhyay Reshma Singh
+	Integral Transforms of Generalized Functions and Their Applications	2017	Ram Shankar Pathak