TWO-WEIGHT ESTIMATES IN lp(x) SPACES WITHAPPLICATIONS TO FOURIER SERIES

DAVID E. EDMUNDS; VAKHTANG KOKILASHVILI; ALEXANDER MESKHI; Communicated; Giles Auchmuty

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TWO-WEIGHT ESTIMATES IN lp(x) SPACES WITHAPPLICATIONS TO FOURIER SERIES

机译：lpx）空间中的二重估计及其在傅里叶级数中的应用

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摘要

Two-weighted norm inequalities for Calderon- Zygmund singu-lar integrals and Hardy-Littlewood maximal functions in LP(.) spaces areestablished. The norm convergence and summability of Fourier series in atwo-weight setting are also proved.

机译：建立了LP（。）空间中Calderon-Zygmund三角积分和Hardy-Littlewood极大函数的两个加权范数不等式。还证明了二重设置下傅里叶级数的范数收敛性和可积性。

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来源
《Houston Journal of Mathematics》 |2009年第2期|共1页
作者
DAVID E. EDMUNDS; VAKHTANG KOKILASHVILI; ALEXANDER MESKHI; Communicated; Giles Auchmuty;
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正文语种 eng
中图分类数学;
关键词
Lebesgue spaces with variable exponent; Hardy-Littlewood maximalfunction; Calderon-Zygmund singular integrals; summability of Fourier trigonometric series;

机译：具有可变指数的Lebesgue空间;Hardy-Littlewood极大函数;Calderon-Zygmund奇异积分;傅里叶三角级数的可加性;

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专利

1. TWO-WEIGHT ESTIMATES IN lp(x) SPACES WITHAPPLICATIONS TO FOURIER SERIES [J] . DAVID E. EDMUNDS, VAKHTANG KOKILASHVILI, ALEXANDER MESKHI, Houston Journal of Mathematics . 2009,第2期

机译：lpx）空间中的二重估计及其在傅里叶级数中的应用
2. Weighted error estimates for approximation by Cesàro means of Fourier-Jacobi series in spaces of locally continuous functions [J] . Analysis Mathematica . 2008,第1期

机译：切萨罗在局部连续函数空间中用傅里叶-雅各比级数逼近的加权误差估计
3. Two-weight estimates for Fourier operators and Bernstein inequality [J] . Guven A., Kokilashvili V. Studia Scientiarum Mathematicarum Hungarica . 2010,第1期

机译：傅里叶算子和伯恩斯坦不等式的二重估计
4. On the Estimate of Deviations of Partial Sums of a Multiple Fourier-Walsh Series of the Form S _(2j,..,2j)f(x) of a Function in the Metric L_1(Q_k). [C] . Alua Igenberlina, Dauren Matin, Mendybay Turgumbayev International Conference "Functional Analysis in Interdisciplinary Applications" . 2017

机译：在度量L_1（Q_K）中函数的多傅里叶 - 沃尔什系列的部分和偏差偏差偏差的估计。
5. Adaptive Fourier analysis for unequally-spaced time series data. [D] . Liang, Hong. 2002

机译：非等距时间序列数据的自适应傅里叶分析。
6. Characterization of Fourier Transforms of Hardy Spaces [O] . Ronald R. Coifman 1974

机译：Hardy空间的Fourier变换的特征
7. Linear Methods for Summing Fourier Series and Approximation Properties of Fourier Series in Weighted Lebesgue Spaces with Variable Exponent [O] . Ahmet TESTİCİ, Daniyal M. İSRAFİLZADE 2021

机译：可变指数加权LEBESGUE空间傅里叶系列傅立叶系列和近似特性的线性方法

TWO-WEIGHT ESTIMATES IN lp(x) SPACES WITHAPPLICATIONS TO FOURIER SERIES

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