We review and develop two little known results on the equality of mixed partial derivatives which can be considered the best results so far available in their respective domains. The former, due to Mikusinski and his school, deals with equality at a given point, while the latter, due to Tolstov, concerns equality almost everywhere. Applications to differential geometry and General Relativity are commented.

The equality of mixed partial derivatives under weak differentiability conditions / E. Minguzzi. - In: REAL ANALYSIS EXCHANGE. - ISSN 0147-1937. - STAMPA. - 40:(2015), pp. 81-98.

The equality of mixed partial derivatives under weak differentiability conditions

MINGUZZI, ETTORE
2015

Abstract

We review and develop two little known results on the equality of mixed partial derivatives which can be considered the best results so far available in their respective domains. The former, due to Mikusinski and his school, deals with equality at a given point, while the latter, due to Tolstov, concerns equality almost everywhere. Applications to differential geometry and General Relativity are commented.
2015
40
81
98
E. Minguzzi
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/908332
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