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Anti-Fubini and pseudo-Fubini functions

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

Under natural assumptions about the measure spaces, the topological size as well as the algebraic size of the family of measurable real functions on the product measure space satisfying or not the conclusion of the Fubini theorem are analyzed. In particular, a (nontrivial) nonlineable set is provided.

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Acknowledgements

The authors are grateful to the referees for helpful comments and suggestions.

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Authors and Affiliations

  1. Departamento de Análisis Matemático, Facultad de Matemáticas, Instituto de Matemáticas Antonio de Castro Brzezicki (IMUS), Universidad de Sevilla, Avda. Reina Mercedes s/n, 41012, Sevilla, Spain

    Luis Bernal-González & María del Carmen Calderón-Moreno

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  1. Luis Bernal-González
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  2. María del Carmen Calderón-Moreno
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Correspondence to María del Carmen Calderón-Moreno.

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Dedicated to Professor José María Martínez Ansemil on the occasion of his 70th birthday.

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The authors have been partially supported by the Plan Andaluz de Investigación de la Junta de Andalucía FQM-127, Grant P08-FQM-03543, and by MICINN Grant PGC2018-098474-B-C21.

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Bernal-González, L., del Carmen Calderón-Moreno, M. Anti-Fubini and pseudo-Fubini functions. RACSAM 115, 127 (2021). https://doi.org/10.1007/s13398-021-01067-7

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  • DOI: https://doi.org/10.1007/s13398-021-01067-7

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