The Improvement on the Boundedness and Norm of a Class of Integral Operators on Lp Space

We prove the condition “c is neither 0 nor a negative integer” can be dropped on the boundedness of a class of integral operators Sa,b,c on Lp space, which improves the result by Krues and Zhu. Besides, the exact norm of Sa,b,c on Lp space is also obtained under the assumption c=n+1+a+b.

Bibliographic Details
Main Authors: Lifang Zhou, Jin Lu
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2015/362681