کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4582449 1333806 2011 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A combinatorial proof of Marstrand’s theorem for products of regular Cantor sets
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
A combinatorial proof of Marstrand’s theorem for products of regular Cantor sets
چکیده انگلیسی

In a paper from 1954 Marstrand proved that if K⊂R2K⊂R2 has a Hausdorff dimension greater than 1, then its one-dimensional projection has a positive Lebesgue measure for almost all directions. In this article, we give a combinatorial proof of this theorem when KK is the product of regular Cantor sets of class C1+αC1+α, α>0α>0, for which the sum of their Hausdorff dimension is greater than 1.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Expositiones Mathematicae - Volume 29, Issue 2, 2011, Pages 231–239
نویسندگان
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