Besov-type spaces for the κ-Hankel wavelet transform on the real line-Reference-Cited by-同舟云学术

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

Published:2021-01-01 Issue:1 Volume:8 Page:114-124
ISSN:2299-3282
Container-title:Concrete Operators
language:en
Short-container-title:

Author:

Pathak Ashish¹,Pandey Shrish¹

Affiliation:

1. Department of Mathematics, Institute of Science , Banaras Hindu University , Varanasi - 221005 , India

Abstract

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

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/conop-2020-0117/pdf

Reference13 articles.

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3. [3] O.V. Besov, On some families of functional spaces. Imbedding and extension theorems. (Russian) Dokl. Akad. Nauk SSSR 126,(1959),1163-1165.

4. [4] O.V. Besov, Investigation of a class of function spaces in connection with imbedding and extension theorems. (Russian) Trudy. Mat. Inst. Steklov. 60,(1961),42-81.

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