کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4607085 1631425 2014 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Almost Lipschitz-continuous wavelets in metric spaces via a new randomization of dyadic cubes
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Almost Lipschitz-continuous wavelets in metric spaces via a new randomization of dyadic cubes
چکیده انگلیسی

In any quasi-metric space of homogeneous type, Auscher and Hytönen recently gave a construction of orthonormal wavelets with Hölder-continuity exponent η>0η>0. However, even in a metric space, their exponent is in general quite small. In this paper, we show that the Hölder-exponent can be taken arbitrarily close to 11 in a metric space. We do so by revisiting and improving the underlying construction of random dyadic cubes, which also has other applications.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Approximation Theory - Volume 185, September 2014, Pages 12–30
نویسندگان
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