An L...-Estimate for the gradient of extremals.
Seppo Granlund (1982)
Mathematica Scandinavica
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Seppo Granlund (1982)
Mathematica Scandinavica
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Veerman, J.J.P., Stošić, B.D. (2000)
Experimental Mathematics
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Siamak Yassemi (1995)
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Pekka Tukia (1989)
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Lu-ming Shen (2010)
Acta Arithmetica
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Susana Scrivanti (1992)
Mathematica Scandinavica
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Śladkowska, Janina (2015-11-13T13:54:55Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Claes Fernström (1987)
Mathematica Scandinavica
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Jaroslav Hančl, Radhakrishnan Nair, Lukáš Novotný, Jan Šustek (2012)
Acta Arithmetica
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Jan Sokołowski (1987)
Banach Center Publications
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Jack Ohm (1975)
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James R. Lee, Manor Mendel, Mohammad Moharrami (2012)
Fundamenta Mathematicae
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For every ε > 0, any subset of ℝⁿ with Hausdorff dimension larger than (1-ε)n must have ultrametric distortion larger than 1/(4ε).
Jean Ollagnier, Didier Pinchon (1982)
Studia Mathematica
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Krupka, D. (2006)
Lobachevskii Journal of Mathematics
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Renate McLaughlin (1973)
Colloquium Mathematicae
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Balázs Bárány (2009)
Fundamenta Mathematicae
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We investigate the properties of the Hausdorff dimension of the attractor of the iterated function system (IFS) {γx,λx,λx+1}. Since two maps have the same fixed point, there are very complicated overlaps, and it is not possible to directly apply known techniques. We give a formula for the Hausdorff dimension of the attractor for Lebesgue almost all parameters (γ,λ), γ < λ. This result only holds for almost all parameters: we find a dense set of parameters (γ,λ) for which the Hausdorff...
Themis Mitsis (2004)
Studia Mathematica
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We prove that the complement of a higher-dimensional Nikodym set must have full Hausdorff dimension.