Villanueva Díez, IgnacioBombal Gordon, Fernando2023-06-202023-06-202001-12-01Bombal Gordon, F. & Villanueva Díez, I. «Integral Operators on the Product of C(K) Spaces». Journal of Mathematical Analysis and Applications, vol. 264, n.o 1, diciembre de 2001, pp. 107-21. DOI.org (Crossref), https://doi.org/10.1006/jmaa.2001.7648.0022-247X10.1006/jmaa.2001.7648https://hdl.handle.net/20.500.14352/56941We study and characterize the integral multilinear operators on a product of C(K) spaces in terms of the representing polymeasure of the operator. Some applications are given. In particular, we characterize the Borel polymeasures that can be extended to a measure in the product ¾- algebra, generalizing previous results for bimeasures. We also give necessary conditions for the weak compactness of the extension of an integral multilinear operator on a product of C(K) spaces.engjournal articlehttps//doi.org/10.1006/jmaa.2001.7648http://www.sciencedirect.com/science/article/pii/S0022247X01976486open access517Integral multilinear operatorRepresenting polymeasureSemivariationProduct of C(K) spacesWeak compactnessAnálisis matemático1202 Análisis y Análisis Funcional