The Improvement on the Boundedness and Norm of a Class of Integral Operators on Lp Space. (6th April 2015)

• Record Type: Journal Article
• Authors: Zhou, Lifang; Lu, Jin
• Other Names: Matkowski Janusz Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2015(2015)
• Publication Date: 2015-04-06
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2015/362681
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : We prove the condition "c is neither0 nor a negative integer" can be dropped on the boundedness of a class of integral operatorsS a, b, c onL p space, which improves the result by Krues and Zhu. Besides, the exact norm ofS a, b, c onL p space is also obtained under the assumptionc = n + 1 + a + b .