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A note on Buczolich's solution of the Weil gradient problem: a construction based on an infinite game |
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| Authors: | Jan Malý Miroslav Zelený |
| Affiliation: | (1) J. E. Purkyně University, Faculty of Science, Department of Mathematics, České mládeže 8, 400 96 ústí nad Labem, Czech Republic;(2) Charles University, Faculty of Mathematics and Physics, Sokolovská 83, 186 75, Praha 8, Czech Republic |
| Abstract: | Summary Using an infinite game approach we reprove Buczolich's result that there exists a differentiable function f such that ∇f(0) = 0 and |∇ f |≧1 a.e. |
| Keywords: | Denjoy--Clarkson property infinite game Martin theorem gradient |
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