Peano curves and smoothness of functions
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Publication:1147247
DOI10.1016/0001-8708(80)90045-6zbMath0449.26015OpenAlexW1983822424MaRDI QIDQ1147247
Publication date: 1980
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0001-8708(80)90045-6
nonincreasing rearrangementhigher-dimensional analogue of an integralinequality of Garsia and RodemichLipschitzian and measure preserving properties of Peano curves
Measure-preserving transformations (28D05) Inequalities for sums, series and integrals (26D15) Classical measure theory (28A99)
Related Items (16)
Multiplicativity of the uniform norm and independent functions ⋮ On the structure of self-similar sets ⋮ Cost of sequential connection for points in space ⋮ Mapping analytic sets onto cubes by little Lipschitz functions ⋮ Sampling multidimensional signals by a new class of quasi-random sequences ⋮ Clustering algorithm using space filling curves for the classification of high energy physics data ⋮ Recurrent sets ⋮ Peano curves and moduli of continuity ⋮ Space-filling curves of self-similar sets (II): edge-to-trail substitution rule ⋮ Applications of the space — filling curves with data driven measure — preserving property ⋮ Sigma-delta quantization errors and the traveling salesman problem ⋮ The \(n\)-dimensional Peano curve ⋮ A new method of estimation of the box-counting dimension of multivariate objects using space-filling curves ⋮ Arithmetic-analytic representation of Peano curve ⋮ Efficacy of spacefilling heuristics in Euclidean combinatorial optimization ⋮ Calculating Hausdorff dimension in higher dimensional spaces
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