کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5774682 | 1413564 | 2018 | 29 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Sequences of dilations and translations in function spaces
ترجمه فارسی عنوان
دنباله ای از گسترش و ترجمه در فضاهای تابع
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
چکیده انگلیسی
Let fâL1[0,1] be a mean zero function and let fn, n=1,2,â¦, be the dyadic dilations and translations of f. We investigate conditions on f, under which the linear operator Tf defined by Tfhn=fn, n=1,2,â¦, where hn, n=1,2,â¦, are mean zero Haar functions, can be continuously extended to the closed linear span [hn] in a certain function space X. Among other results we prove that Tf is bounded in every symmetric space with nontrivial Boyd indices whenever fâBMOd and f has “good” Haar spectral properties. In the special case of so-called Haar chaoses the above results can be essentially refined and sharpened. In particular, we find necessary and sufficient conditions, under which the operator Tf, generated by a Haar chaos f of order 1, is continuously invertible in Lp for all 1
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 457, Issue 1, 1 January 2018, Pages 645-671
Journal: Journal of Mathematical Analysis and Applications - Volume 457, Issue 1, 1 January 2018, Pages 645-671
نویسندگان
Sergey V. Astashkin, Pavel A. Terekhin,