کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6418007 | 1339319 | 2015 | 34 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Differentiation of the integral, Hardy spaces and Calderón-Zygmund operators in the product setting
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
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چکیده انگلیسی
This article concerns strong differentiation and operators on product Hardy spaces. We first show that an example, created by Papoulis, of a function on R2 whose integral is strongly differentiable almost everywhere, but the integral of its absolute value fails to be strongly differentiable on a set of positive measure, belongs to the product Hardy space H1(RÃR). The methods that we develop enable us to present a relaxed version of Chang-Fefferman p-atoms with a lower number of required vanishing moments and no smoothness needed on the elementary particles. In analogy with the proof of this result, we show a generalization of a theorem of R. Fefferman which concludes HpâLp, 0
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 423, Issue 2, 15 March 2015, Pages 1480-1513
Journal: Journal of Mathematical Analysis and Applications - Volume 423, Issue 2, 15 March 2015, Pages 1480-1513
نویسندگان
Raquel Cabral,