When is the composition of functions measurable?

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medibles v9 arxiv2.pdf (142.83 KB)
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URI: http://hdl.handle.net/10347/34560
DOI: 10.2989/16073606.2022.2111615

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2023

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Taylor and Francis
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In this article we explore under which conditions on the interior function the composition of functions is measurable. We also study the sharpness of the result by providing a counterexample for weaker hypotheses.

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Measurable functions| Composition| Lebesgue measure

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Javier Fernández, F., & F. Tojo, F. A. (2022). When is the composition of functions measurable? Quaestiones Mathematicae, 46(9), 1837–1846. https://doi.org/10.2989/16073606.2022.2111615

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The authors were partially supported by Xunta de Galicia, project ED431C 2019/02, and by the Agencia Estatal de Investigación (AEI) of Spain under grant MTM2016-75140-P, co-financed by the European Community fund ERDF.

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Estatística, Análise Matemática e Optimización