Matrix weighted norm inequalities for commutators and paraproducts with matrix symbols

Isralowitz Joshua; Kwon Hyun‐Kyoung; Pott Sandra

摘要

Abstract > Let <mat:math xmlns:mat="http://www.w3.org/1998/Math/MathML" display="inline" altimg="urn:x-wiley:00246107:media:jlms12053:jlms12053-math-0001" xmlns:wiley="http://www.wiley.com/namespaces/wiley/wiley" wiley:location="equation/jlms12053-math-0001.png"> <mat:mi>B</mat:mi> </mat:math> be a locally integrable matrix function, <mat:math xmlns:mat="http://www.w3.org/1998/Math/MathML" display="inline" altimg="urn:x-wiley:00246107:media:jlms12053:jlms12053-math-0002" xmlns:wiley="http://www.wiley.com/namespaces/wiley/wiley" wiley:location="equation/jlms12053-math-0002.png"> <mat:mi>W</mat:mi> </mat:math> a matrix A <mat:math xmlns:mat="http://www.w3.org/1998/Math/MathML" display="inline" altimg="urn:x-wiley:00246107:media:jlms12053:jlms12053-math-0003" xmlns:wiley="http://www.wiley.com/namespaces/wiley/wiley" wiley:location="equation/jlms12053-math-0003.png"> <mat:msub> <mat:mrow/> <mat:mi>p</mat:mi> </mat:msub> </mat:math> weight with <mat:math xmlns:mat="http://www.w3.org/1998/Math/MathML" display="inline" altimg="urn:x-wiley:00246107:media:jlms12053:jlms12053-math-0004" xmlns:wiley="http://www.wiley.com/namespaces/wiley/wiley" wiley:location="equation/jlms12053-math-0004.png"> <mat:mrow> <mat:mn>1</mat:mn> <mat:mo></mat:mo> <mat:mi>p</mat:mi> <mat:mo></mat:mo> <mat:mi>∞</mat:mi> </mat:mrow> </mat:math> , and <mat:math xmlns:mat="http://www.w3.org/1998/Math/MathML" display="inline" altimg="urn:x-wiley:00246107:media:jlms12053:jlms12053-math-0005" xmlns:wiley="http://www.wiley.com/namespaces/wiley/wiley" wiley:location="equation/jlms12053-math-0005.png"> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> <div class="translation abstracttxt"> <span class="zhankaihshouqi fivelineshidden" id="abstract"> <span>机译：</span><Abstract XMLNS =“http://www.wiley.com/namespaces/wiley”type =“main”> <title type =“main”>抽象</ title> > let <mat：math xmlns：mat = “http://www.w3.org/1998/math/mathml”display =“内联”altimg =“urn：x-wiley：00246107：媒体：jlms12053：jlms12053-math-0001”xmlns：wiley =“http： //www.wiley.com/namespaces/wiley/wiley“wiley：location =”等式/ jlms12053-math-0001.png“> <mat：mi> b </ mat：mi> </ mat：math>是一个本地可分类的矩阵函数，<mat：math xmlns：mat =“http://www.w3.org/1998/math/mathml”display =“内联”altimg =“urn：x-wiley：00246107：媒体：jlms12053： JLMS12053-Math-0002“XMLNS：Wiley =”http://www.wiley.com/namespaces/wiley/wiley“wiley：location =”等式/ jlms12053-math-0002.png“> <mat：mi> w < / mat：mi> </ mat：math>一个矩阵a <mat：math xmlns：mat =“http://www.w3.org/1998/math/mathml”display =“内联”altimg =“urn：x -Wiley：00246107：媒体：jlms12053：jlms12053-math-0003“xmlns：wiley =”http://www.wiley.com/namespaces/wiley/wiley“wiley：location =”等式/ jlms12053-math-0003.png “> <mat：msub> <mat：mrow /> <ma T：MI> P </ MAT：MI> </ MAT：MSUB> </ MAT：数学> MATION <MAT：MATH XMLNS：MAT =“http://www.w3.org/1998/math/mathml” display =“内联”Altimg =“URN：X-Wiley：00246107：媒体：jlms12053：jlms12053-math-0004”xmlns：wiley =“http://www.wiley.com/namespaces/wiley/wiley”wiley：location =“等式/ jlms12053-math-0004.png”> <mat：mrow> <mat：mn> 1 </ mat：mn> <mat：mo>＆ </ mo：mo> <may：mi> p < / mat：mi> <mat：mo>＆ </ mat：mo> <mat：mi>∞</ mat：mi> </ mat：mrow> </ mat：math>，以及<mat：math xmlns： mat =“http://www.w3.org/1998/math/mathml”display =“内联”altimg =“urn：x-wiley：00246107：媒体：jlms12053：jlms12053-math-0005”xmlns：wiley =“ http://www.wiley.com/namespaces/wiley/wiley“wiley：location =”等式/ jlms12053-math-0005.png“> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> </div> <div class="record"> <h2 class="all_title" id="enpatent33" >著录项</h2> <ul> <li> <span class="lefttit">来源</span> <div style="width: 86%;vertical-align: text-top;display: inline-block;"> <a href='/journal-foreign-31023/'>《The Journal of the London Mathematical Society》</a> <b style="margin: 0 2px;">|</b><span>2017年第1期</span><b style="margin: 0 2px;">|</b><span>共28页</span> </div> </li> <li> <div class="author"> <span class="lefttit">作者</span> <p id="fAuthorthree" class="threelineshidden zhankaihshouqi"> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Isralowitz Joshua&option=202" target="_blank" rel="nofollow">Isralowitz Joshua;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Kwon Hyun‐Kyoung&option=202" target="_blank" rel="nofollow">Kwon Hyun‐Kyoung;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Pott Sandra&option=202" target="_blank" rel="nofollow">Pott Sandra;</a> </p> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zkzz" style="display: none;">展开▼</span> </div> </li> <li> <div style="display: flex;"> <span class="lefttit">作者单位</span> <div style="position: relative;margin-left: 3px;max-width: 639px;"> <div class="threelineshidden zhankaihshouqi" id="fOrgthree"> <p>Department of Mathematics and StatisticsUniversity at Albany Sunny1400 Washington Ave. Albany NY 12222 USA;</p> <p>Department of MathematicsThe University of AlabamaP.O. Box 870350 Tuscaloosa AL 35487 USA;</p> <p>Centre for Mathematical SciencesLund UniversityP.O. Box 118 SE‐22 362 Lund Sweden;</p> </div> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zhdw" style="display: none;">展开▼</span> </div> </div> </li> <li > <span class="lefttit">收录信息</span> <span style="width: 86%;vertical-align: text-top;display: inline-block;"></span> </li> <li> <span class="lefttit">原文格式</span> <span>PDF</span> </li> <li> <span class="lefttit">正文语种</span> <span>eng</span> </li> <li> <span class="lefttit">中图分类</span> <span><a href="https://www.zhangqiaokeyan.com/clc/156.html" title="数学">数学;</a></span> </li> <li class="antistop"> <span class="lefttit">关键词</span> <p style="width: 86%;vertical-align: text-top;"> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=42B20 (primary)&option=203" rel="nofollow">42B20 (primary);</a> </p> <div class="translation"> 机译：42B20（初级）; </div> </li> </ul> </div> </div> <div class="literature cardcommon"> <div class="similarity "> <h3 class="all_title" id="enpatent66">相似文献</h3> <div 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