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Functions of Two Variables Whose Vertical Sections Are Equiderivatives
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K. Chmielewska
Published/Copyright:
June 9, 2010
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].
Received: 2001-04-04
Revised: 2002-04-08
Published Online: 2010-06-09
Published in Print: 2003-June
© Heldermann Verlag
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Articles in the same Issue
- Skew Products of Ideals
- Crowded and Selective Ultrafilters under the Covering Property Axiom
- Solution of the Stieltjes Truncated Moment Problem
- Minimax Solutions of the Dual Hamilton-Jacobi Equation
- Nonexistence of Global Solutions to a Class of Nonlinear Differential Inequalities and Application to Hyperbolic–Elliptic Problems
- Functions of Two Variables Whose Vertical Sections Are Equiderivatives
- On Maximal Element Problem and Quasi-Variational Inequality Problem in L.C. Metric Spaces
- On a Certain Generalization of the Krasnosel'skii Theorem
