Equivalent Conditions of a Hilbert-Type Multiple Integral Inequality Holding
Joint Authors
Yang, Bicheng
Liao, Jianquan
Hong, Yong
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-04-15
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
Let ∑i=1n1/pi=1 pi>1, in this paper, by using the method of weight functions and technique of real analysis; it is proved that the equivalent parameter condition for the validity of multiple integral Hilbert-type inequality ∫R+nKx1,⋯,xn∏i=1nfixi dx1⋯dxn≤M∏i=1nfipi,αi with homogeneous kernel Kx1,⋯,xn of order λ is ∑i=1nαi/pi=λ+n−1, and the calculation formula of its optimal constant factor is obtained.
The basic theory and method of constructing a Hilbert-type multiple integral inequality with the homogeneous kernel and optimal constant factor are solved.
American Psychological Association (APA)
Liao, Jianquan& Hong, Yong& Yang, Bicheng. 2020. Equivalent Conditions of a Hilbert-Type Multiple Integral Inequality Holding. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1185294
Modern Language Association (MLA)
Liao, Jianquan…[et al.]. Equivalent Conditions of a Hilbert-Type Multiple Integral Inequality Holding. Journal of Function Spaces No. 2020 (2020), pp.1-6.
https://search.emarefa.net/detail/BIM-1185294
American Medical Association (AMA)
Liao, Jianquan& Hong, Yong& Yang, Bicheng. Equivalent Conditions of a Hilbert-Type Multiple Integral Inequality Holding. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1185294
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185294