A Bernstein type inequality associated with wavelet bi-frame decomposition

التفاصيل البيبلوغرافية
العنوان: A Bernstein type inequality associated with wavelet bi-frame decomposition
المؤلفون: Wang, Kai-Cheng, Chang, Kuei-Fang, Yang, Chi-I, Gun, Chiou-Yueh
بيانات النشر: BioMed Central Ltd.
سنة النشر: 2016
المجموعة: BioMed Central
مصطلحات موضوعية: Calderón-Zygmund decomposition theorem, Bernstein inequality, bi-frame, unconditional, wavelet
الوصف: Bernstein inequality is an essential inequality for Besov spaces. Smoothness based approaches are widely used in establishing the inequality. Yet, despite numerous studies over the last two decades, there is still little research focusing on decay-based approaches. However, motivating authors to establish inequality poses challenges, many of which can be overcome by means of the completeness of wavelet bi-frames in Lebesgue spaces and the stability of wavelet coefficients. The research has shown how wavelets with decay conditions enable descriptions of Lebesgue spaces, and in particular, the Bernstein inequality. MSC: 41A17, 41A46, 42C40, 42C15.
نوع الوثيقة: report
اللغة: English
العلاقة: http://www.journalofinequalitiesandapplications.com/content/2016/1/244Test
الإتاحة: http://www.journalofinequalitiesandapplications.com/content/2016/1/244Test
حقوق: Copyright 2016 Wang et al.
رقم الانضمام: edsbas.B82145B1
قاعدة البيانات: BASE