The improvement on the boundedness and norm of a class of integral operators on \(L^p\) space
Summary: We prove that 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 \textit{O. Kures} and \textit{K. Zhu} [Integral Equations Oper. Theory 56, No.~1, 71--82 (2006; Zbl 1109.47041)]. Besides, the exact norm of \(S_{a,b,c}\) on \(L^p\) space is also obtained under the assumption \(c=n+1+a+b\).
scientific article; zbMATH DE number 6474202
scientific article