Proof of the Fundamental Theorems on Second-order Cross Partial Derivatives*

نویسنده

  • A. E. CURRIER
چکیده

almost everywhere on A. At the conclusion of this paper we state a number of interesting problems which are closely connected with the theorems which we prove. We wish to thank Dr. S. Saks for many helpful suggestions. 2. Measurability of second partial derivatives. We require the following lemma. Lemma 1. Let u(x, y) be a function of. Baire, and let Anbe the point set on which the following inequality is satisfied :

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تاریخ انتشار 2010