MULTILINEAR SINGULAR OPERATORS WITH FRACTIONAL RANK

被引：5

作者：

Demeter, Ciprian ^{[1
]}

Pramanik, Malabika ^{[2
]}

Thiele, Christoph ^{[3
]}

机构：

[1] Indiana Univ, Dept Math, Bloomington, IN 47405 USA

[2] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada

[3] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2010年 / 246卷 / 02期

基金：

加拿大自然科学与工程研究理事会; 美国国家科学基金会;

关键词：

multilinear singular integral operator; fractional rank; true complexity; BILINEAR HILBERT TRANSFORM; CONJECTURE; BOUNDS;

D O I：

10.2140/pjm.2010.246.293

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove bounds for multilinear operators on R(d) given by multipliers which are singular along a k-dimensional subspace. The new case of interest is when the rank k/d is not an integer. We also investigate connections with the concept of true complexity from additive combinatorics.

引用

页码：293 / 324

页数：32

共 9 条

[1]

Demeter C, 2010, AM J MATH, V132, P201

[2] POINTWISE CONVERGENCE OF FOURIER-SERIES [J].