Equivalent property of a Hilbert-type integral inequality related to the beta function in the whole plane
type: Item
instance of: scholarly article
title: Equivalent property of a Hilbert-type integral inequality related to the beta function in the whole plane
zbMATH Open document ID: 1400.26066
DOI: 10.1155/2018/2691816
author: Dongmei Xin
author: Bicheng Yang
author: Aizhen Wang
published in: Journal of Function Spaces
publication date: 2018-10-17T00:00:00Z
review text: Summary: By means of the technique of real analysis and the weight functions, a few equivalent statements of a Hilbert-type integral inequality with the nonhomogeneous kernel in the whole plane are obtained. The constant factor related to the beta function is proved to be the best possible. As applications, the case of the homogeneous kernel, the operator expressions, and a few corollaries are considered.
Mathematics Subject Classification ID: 26D15
zbMATH DE Number: 6957199
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/2691816
OpenAlex ID: W2889151004
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Wikidata QID: Q129290130
description: scientific article; zbMATH DE number 6957199