On multilinear determinant functionals
On multilinear determinant functionals
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关于多线性行列式泛函
DOI：
10.1090/s0002-9939-2010-10656-1
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发表时间：
2009
影响因子：
1
通讯作者：
Philip T. Gressman
中科院分区：
文献类型：
--
作者：
Philip T. Gressman
本文考虑一类多线性泛函的L p-估计问题，该泛函涉及对具有行列式结构的核的积分。在傅立叶限制和几何平均算子的研究中，这样的对象的例子随处可见。证明了在非常一般的情况下，这类泛函的有界性等价于最近由D.Oberlin和Bak、Oberlin和Seeger在工作中提出的关于测度的一个几何不等式。
This paper considers the problem of L p -estimates for a certain multilinear functional involving integration against a kernel with the structure of a determinant. Examples of such objects are ubiquitous in the study of Fourier restriction and geometric averaging operators. It is shown that, under very general circumstances, the boundedness of such functionals is equivalent to a geometric inequality for measures which has recently appeared in work by D. Oberlin and by Bak, Oberlin, and Seeger.
Strichartz 范数的热流单调性
影响因子：
2.2
作者：
Bennett J
通讯作者：
Bennett J