Sequential formulae for the normal cone to sublevel sets
نویسندگان
چکیده
منابع مشابه
Bounds for Multilinear Sublevel Sets
The question in the form (1.2) was posed by Li, Tao, Thiele, and this author in [5]. Nonoscillatory inequalities of the form ∫ ∏ j |fj◦`j | . ∏ j ‖fj‖Lpj have been studied in [1],[2]. Oscillatory integral inequalities of this type have been extensively studied for n = 2, where one is dealing with bilinear forms 〈Tλ(f1), f2〉. The associated linear operators Tλ are commonly known as oscillatory i...
متن کاملUniform geometric estimates for sublevel sets
This paper reconsiders the uniform sublevel set estimates of Carbery, Christ, and Wright [5] and Phong, Stein, and Sturm [17] from a geometric perspective. This perspective leads one to consider a natural collection of homogeneous, nonlinear differential operators which generalize mixed derivatives in R. As a consequence, it is shown that, in the case of both of these previous works, improved u...
متن کاملPerimeter of sublevel sets in infinite dimensional spaces
We compare the perimeter measure with the Airault-Malliavin surface measure and we prove that all open convex subsets of abstract Wiener spaces have finite perimeter. By an explicit counter–example, we show that in general this is not true for compact convex domains.
متن کاملA Multivariate Normal Law for Turing’s Formulae
This paper establishes a sufficient condition for Turing’s formulae of various orders to have asymptotic multivariate normality. As an application, a consistent estimator of the tail under a discrete power tail model is also described.
متن کاملSequential Sets
Let ∆∞ = End([∞]) be the monoid of convergent monotonic sequences in N∪{∞}. The category Pre(∆∞) of sequential sets is the category whose objects are sets equipped with an action of this monoid, and whose morphisms are equivariant maps. We call a category C sequentially generated if it is a localization of Pre(∆∞). In this paper we show that several important categories, including the category ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2014
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-2014-06151-5