The improvement on the boundedness and norm of a class of integral operators on \(L^p\) space. (English) Zbl 1321.47109
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 O. Kures and 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 \(c=n+1+a+b\).
MSC:
| 47G10 | Integral operators |
Citations:
Zbl 1109.47041References:
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