کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4665653 1633824 2014 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The Bohr radius of the n  -dimensional polydisk is equivalent to (log⁡n)/n
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
The Bohr radius of the n  -dimensional polydisk is equivalent to (log⁡n)/n
چکیده انگلیسی

We use a new interpolative approach to study the classical polynomial Bohnenblust–Hille inequality. This allows us to greatly improve the best known bounds of this inequality since we actually show that it is subexponential. With this new estimation at hand, we are also able to prove that the Bohr radius of the polydisk DnDn behaves, asymptotically, as log⁡nn. This, in particular, solves several questions from [10].

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 264, 20 October 2014, Pages 726–746
نویسندگان
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