کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4592529 | 1335108 | 2006 | 45 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Sharp estimates for pseudo-differential operators with symbols of limited smoothness and commutators
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Sharp estimates for pseudo-differential operators with symbols of limited smoothness and commutators Sharp estimates for pseudo-differential operators with symbols of limited smoothness and commutators](/preview/png/4592529.png)
چکیده انگلیسی
We consider here pseudo-differential operators whose symbol σ(x,ξ) is not infinitely smooth with respect to x. Decomposing such symbols into four—sometimes five—components and using tools of paradifferential calculus, we derive sharp estimates on the action of such pseudo-differential operators on Sobolev spaces and give explicit expressions for their operator norm in terms of the symbol σ(x,ξ). We also study commutator estimates involving such operators, and generalize or improve the so-called Kato–Ponce and Calderon–Coifman–Meyer estimates in various ways.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 232, Issue 2, 15 March 2006, Pages 495-539
Journal: Journal of Functional Analysis - Volume 232, Issue 2, 15 March 2006, Pages 495-539