Uniform convolution estimates for complex polynomial curves in C3

被引：0

作者：

Meade, Conor ^{[1
]}

机构：

[1] Univ Coll Cork, Cork, Ireland

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2023年 / 202卷 / 06期

关键词：

Convolution operator; Harmonic analysis; Complex polynomial curves;

D O I：

10.1007/s10231-023-01346-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish optimal (p, q) ranges for the weighted convolution operator associated with a complex polynomial curve. Establishing this estimate comes down to establishing a lower bound for the Jacobian of a mapping associated with the complex curve in question.

引用

页码：2947 / 2970

页数：24

共 50 条

[1] Convolution estimates for measures on some complex curves
Chung, Hyunuk
Ham, Seheon
[J]. ANNALI DI MATEMATICA PURA ED APPLICATA, 2019, 198 (03) : 837 - 867
[2] Convolution estimates for measures on some complex curves
Hyunuk Chung
Seheon Ham
[J]. Annali di Matematica Pura ed Applicata (1923 -), 2019, 198 : 837 - 867
[3] UNIFORM ESTIMATES FOR FOURIER RESTRICTION TO POLYNOMIAL CURVES IN Rd
Stovall, Betsy
[J]. AMERICAN JOURNAL OF MATHEMATICS, 2016, 138 (02) : 449 - 471
[4] Dynamical estimates on a class of quadratic polynomial automorphisms of C3
Yazici, Ozcan
[J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2017, 62 (02) : 230 - 240
[5] Convolution with measures on polynomial curves
Oberlin, DM
[J]. MATHEMATICA SCANDINAVICA, 2002, 90 (01) : 126 - 138
[6] SOME ISOTROPIC CURVES AND REPRESENTATION IN COMPLEX SPACE C3
Qian, Jinhua
Kim, Young Ho
[J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 52 (03) : 963 - 975
[7] Uniform estimates for the X-ray transform restricted to polynomial curves
Dendrinos, Spyridon
Stovall, Betsy
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2012, 262 (12) : 4986 - 5020
[8] Uniform convolution estimates for complex polynomial curves in C3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {C}}^3$$\end{document}
Conor Meade
[J]. Annali di Matematica Pura ed Applicata (1923 -), 2023, 202 (6): : 2947 - 2970
[9] POLYNOMIAL APPROXIMATION OF AN ARC IN C3
WERMER, J
[J]. ANNALS OF MATHEMATICS, 1955, 62 (02) : 269 - 270
[10] Compact complex threefolds of class L associated to polynomial automorphisms of C3
Oeljeklaus, Karl
Renaud, Julie
[J]. PUBLICACIONS MATEMATIQUES, 2006, 50 (02) : 401 - 411

← 1 2 3 4 5 →