کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5778677 | 1633781 | 2017 | 28 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Subdyadic square functions and applications to weighted harmonic analysis
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Subdyadic square functions and applications to weighted harmonic analysis Subdyadic square functions and applications to weighted harmonic analysis](/preview/png/5778677.png)
چکیده انگلیسی
Through the study of novel variants of the classical Littlewood-Paley-Stein g-functions, we obtain pointwise estimates for broad classes of highly-singular Fourier multipliers on Rd satisfying regularity hypotheses adapted to fine (subdyadic) scales. In particular, this allows us to efficiently bound such multipliers by geometrically-defined maximal operators via general weighted L2 inequalities, in the spirit of a well-known conjecture of Stein. Our framework applies to solution operators for dispersive PDE, such as the time-dependent free Schrödinger equation, and other highly oscillatory convolution operators that fall well beyond the scope of the Calderón-Zygmund theory.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 307, 5 February 2017, Pages 72-99
Journal: Advances in Mathematics - Volume 307, 5 February 2017, Pages 72-99
نویسندگان
David Beltran, Jonathan Bennett,