Vitali systems of neighbouring type
Leif Mejlbro (1989)
Acta Universitatis Carolinae. Mathematica et Physica
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Displaying similar documents to “Generalized Vitali systems of uniform type”
Vitali systems of neighbouring type
Packing of non-blocking four-dimensional cubes into the unit cube
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Any collection of non-blocking four-dimensional cubes, whose total volume does not exceed 17/81, can be packed into the unit four-dimensional cube. This bound is tight for the parallel packing.
Packing measures on Euclidean spaces
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Measure-preserving quality within mappings.
Stephen Semmes (2000)
Revista Matemática Iberoamericana
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In [6], Guy David introduced some methods for finding controlled behavior in Lipschitz mappings with substantial images (in terms of measure). Under suitable conditions, David produces subsets on which the given mapping is bilipschitz, with uniform bounds for the bilipschitz constant and the size of the subset. This has applications for boundedness of singular integral operators and uniform rectifiability of sets, as in [6], [7], [11], [13]. Some special cases of David's results, concerning...