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2016 On the Mixed Derivatives of a Separately Twice Differentiable Function
Volodymyr Mykhaylyuk
Real Anal. Exchange 41(2): 293-306 (2016).

Abstract

We prove that a function $f(x,y)$ of real variables defined on a rectangle, having partial derivatives $f''_{xx}, f''_{yy}\in L_2([0,1]^2)$, has almost everywhere mixed derivatives $f''_{xy}$ and $f''_{yx}$.

Citation

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Volodymyr Mykhaylyuk. "On the Mixed Derivatives of a Separately Twice Differentiable Function." Real Anal. Exchange 41 (2) 293 - 306, 2016.

Information

Published: 2016
First available in Project Euclid: 30 March 2017

zbMATH: 06848930
MathSciNet: MR3597321

Subjects:
Primary: 26B30
Secondary: 01A75

Rights: Copyright © 2016 Michigan State University Press

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Vol.41 • No. 2 • 2016
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