Global estimates for kernels of Neumann series and Green's functions

Michael Frazier, Fedor Nazarov, Igor Verbitsky

We obtain global pointwise estimates for kernels of the resolvents $(I-T{)}^{-1}$ of integral operators \[Tf(x) = \int_Ω K(x, y) f(y) d ω(y)\] on $L^2(\Omega ,\omega )$ under the assumptions th…