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MULTIDIMENSIONAL INTEGRAL OPERATORS WITH HOMOGENEOUS KERNELS AND VARIABLE COEFFICIENTS

  • Oleg G. Avsyankin

摘要

This article contains a review of the main results of the theory of multidimensional integral operators with homogeneous kernels and variable coefficients. We consider coefficients that either have a finite limit at the origin and at infinity or oscillate at the above points. We find out the influence of the coefficient on the properties of the operator in all these cases.