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

الملخص EN

We prove the condition “ c is neither 0 nor a negative integer” can be dropped on the boundedness of a class of integral operators S a , b , c on L p space, which improves the result by Krues and Zhu.

Besides, the exact norm of S a , b , c on L p space is also obtained under the assumption c = n + 1 + a + b .