Uniform estimates for some paraproducts
نویسنده
چکیده
We establish L × L to L estimates for some general paraproducts, which arise in the study of the bilinear Hilbert transform along curves.
منابع مشابه
Uniform estimates for paraproducts and related multilinear multipliers
In this paper, we prove some uniform estimates between Lebesgue and Hardy spaces for operators closely related to the multilinear paraproducts on Rd. We are looking for uniformity with respect to parameters, which allow us to disturb the geometry and the metric on Rd.
متن کاملUniform Estimates on Paraproducts
We prove uniform L estimates (Theorem 1.1) for a family of paraproducts and corresponding maximal operators.
متن کاملA Variational Estimate for Paraproducts
We show variational estimates for paraproducts, Theorems 1.2 and 1.3, which can be viewed as bilinear generalizations of Lépingle’s variational estimates for martingale averages or scaled families of convolution operators. The heart of the matter is the case of low variation exponents, 1 < r ≤ 2.
متن کاملBilinear Paraproducts Revisited
Boundedness properties for bilinear paraproducts on several function spaces are presented. The methods are based on the realization of paraproducts as bilinear Calderón-Zygmund operators and the molecular characterization of function spaces. This provides a unified approach for the study of paraproducts, recovering some know results and establishing several new.
متن کاملParaproducts with Flag Singularities I. a Case Study
In this paper we prove L estimates for a tri-linear operator, whose symbol is given by the product of two standard symbols, satisfying the well knownMarcinkiewiczHörmander-Mihlin condition. Our main result contains in particular the classical CoifmanMeyer theorem. This tri-linear operator is the simplest example of a large class of multilinear operators, which we called paraproducts with flag s...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008