Functions of two variables whose vertical sections are equiderivatives
K Chmielewska - Journal of Applied Analysis, 2003 - degruyter.com
Journal of Applied Analysis, 2003•degruyter.com
We examine functions of two variables whose all vertical sections are equiderivatives. In
particular we show that a bounded function whose horizontal sections are strongly
measurable and vertical sections are equiderivatives, is strongly measurable. The theorems
we prove are generalizations of the results of Z. Grande [Real Anal. Exchange 21: 637–647,
1995–96].
particular we show that a bounded function whose horizontal sections are strongly
measurable and vertical sections are equiderivatives, is strongly measurable. The theorems
we prove are generalizations of the results of Z. Grande [Real Anal. Exchange 21: 637–647,
1995–96].
Abstract
We examine functions of two variables whose all vertical sections are equiderivatives. In particular we show that a bounded function whose horizontal sections are strongly measurable and vertical sections are equiderivatives, is strongly measurable. The theorems we prove are generalizations of the results of Z. Grande [Real Anal. Exchange 21: 637–647, 1995–96].
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