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- W3035143368 abstract "Volterra integral operators with non-sign-definite degenerate kernels $A(x,t)= sum_{k=0}^n A_k(x,t)$, $A_k(x,t)= a_k (x) t^k$, are studied acting from one weighted $L_2$ space on $(0,+infty)$ to another. Imposing an integral doubling condition on one of the weights, it is shown that the operator with the kernel $A(x,t)$ is bounded if and only $n+1$ operators with kernels $A_k(x,t)$ are all bounded. We apply this result to describe spaces of pointwise multipliers in weighted Sobolev spaces on $(0,+infty)$." @default.
- W3035143368 created "2020-06-19" @default.
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- W3035143368 date "2020-06-13" @default.
- W3035143368 modified "2023-09-27" @default.
- W3035143368 title "Splitting of Volterra Integral Operators with Degenerate Kernels" @default.
- W3035143368 hasPublicationYear "2020" @default.
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