A generalization of Marstrand's theorem for projections of cartesian products

Lopez Jorge Erick; Moreira Carlos Gustavo

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A generalization of Marstrand's theorem for projections of cartesian products

机译：笛卡尔乘积投影的Marstrand定理的推广

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摘要

We prove the following variant of Marstrand's theorem about projections of cartesian products of sets:

机译：我们证明了关于集合的笛卡尔乘积的投影的Marstrand定理的以下变体：

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来源
《Annales de l'Institut Henri Poincare. Analye non lineaire》 |2015年第4期|共8页
作者
Lopez Jorge Erick; Moreira Carlos Gustavo;
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原文格式 PDF
正文语种 eng
中图分类数学分析;
关键词
Fractal geometry; Hausdorff dimensions; Potential theory; Fourier transform; Dynamical systems;

机译：分形几何;Hausdorff尺寸;势理论;傅立叶变换;动力学系统;

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1. A generalization of Marstrand's theorem for projections of cartesian products [J] . Lopez Jorge Erick, Moreira Carlos Gustavo Annales de l'Institut Henri Poincare. Analye non lineaire . 2015,第4期

机译：笛卡尔乘积投影的Marstrand定理的推广
2. Fixed Point Theorems for Mappings Satisfying Weak Nonexpansivity Condition (Weak Contractivity Condition) into (from) Cartesian Products Normed Spaces [J] . Bakr Sahar Mohamed Ali Abou Journal of Mathematics and Statistics . 2017,第2期

机译：满足（来自）笛卡尔积范数空间的弱非扩张性条件（弱收缩性条件）的映射的不动点定理
3. Invoking a Cartesian product structure on social states New resolutions of Sen's and Gibbard's impossibility theorems [J] . Herrade Igersheim Theory and Decision . 2013,第4期

机译：在社会状态上调用笛卡尔积结构森和吉巴德不可能定理的新解
4. Weighted generalization of the Szeg? kernel and how it can be used to prove general theorems of complex analysis [C] . Tomasz ?ukasz ?ynda Workshop on Geometric Methods in Physics . 2019

机译：Szeg的加权泛化？内核以及如何用来证明复杂分析的通用定理
5. Generalizations of the irreducibility theorems of Issai Schur. [D] . Allen, Martha Ann. 2001

机译：Issai Schur的不可约性定理的推广。
6. Generalizations to Space of the Cauchy and Morera Theorems [O] . Maxwell Reade, E. F. Beckenbach 1939

机译：Cauchy定理和Morera定理的空间推广
7. A generalization of Marstrand's theorem for projections of cartesian products [O] . López, Jorge Erick, Moreira, Carlos Gustavo 2011

机译：关于笛卡尔坐标投影的marstrand定理的推广制品
8. On Generalizations of Cochran's Theorem and Projection Matrices [R] . Takemura, A. 1980

机译：关于Cochran定理和投影矩阵的推广

A generalization of Marstrand's theorem for projections of cartesian products

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