کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8896748 | 1630600 | 2018 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Improved Cotlar's inequality in the context of local Tb theorems
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
In the context of local Tb theorems with Lp testing conditions we prove an enhanced Cotlar's inequality. This is related to the problem of removing the so called buffer assumption of Hytönen-Nazarov, which is the final barrier for the full solution of S. Hofmann's problem. We also investigate the problem of extending the Hytönen-Nazarov result to non-homogeneous measures. We work not just with the Lebesgue measure but with measures μ in Rd satisfying μ(B(x,r))â¤Crn, nâ(0,d]. The range of exponents in the Cotlar type inequality depend on n. Without assuming buffer we get the full range of exponents p,qâ(1,2] for measures with nâ¤1, and in general we get p,qâ[2âϵ(n),2], ϵ(n)>0. Consequences for (non-homogeneous) local Tb theorems are discussed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 274, Issue 5, 1 March 2018, Pages 1255-1275
Journal: Journal of Functional Analysis - Volume 274, Issue 5, 1 March 2018, Pages 1255-1275
نویسندگان
Henri Martikainen, Mihalis Mourgoglou, Xavier Tolsa,