PSEUDO-INTEGRAL MULTILINEAR AND POLYNOMIAL OPERATORS

The so-called pseudo-integral multilinear and polynomial operators, defined by random measures, are introduced, and their lattice properties are studied. Radon–Nikodým type theorems for multilinear and polynomial pseudo-integral operators are proved. They generalize a similar result obtained earlier by Grobler, de Pagter, and Rambane for linear pseudo-integral operators.