Open Access
2013/2014 The Equality of Mixed Partial Derivatives
Ettore Minguzzi
Real Anal. Exchange 40(1): 81-98 (2013/2014).


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 Mikusiński 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.


Download Citation

Ettore Minguzzi. "The Equality of Mixed Partial Derivatives." Real Anal. Exchange 40 (1) 81 - 98, 2013/2014.


Published: 2013/2014
First available in Project Euclid: 1 July 2015

zbMATH: 06848824
MathSciNet: MR3365391

Primary: 26B05 , 26B30
Secondary: 26A16 , 83C99 , 97I40

Keywords: Fubini's theorem , Lipschitz connections , Schwarz's theorem

Rights: Copyright © 2015 Michigan State University Press

Vol.40 • No. 1 • 2013/2014
Back to Top