Generalized Besov–Morrey spaces and generalized Triebel–Lizorkin–Morrey spaces on domains

Izuki Mitsuo; Noi Takahiro

摘要

Abstract >In this paper, we consider a non‐smooth atomic decomposition by using a smooth atomic decomposition. Applying the non‐smooth atomic decomposition, a local means characterization and a quarkonical decomposition, we obtain a pointwise multiplier and a trace operator for generalized Besov–Morrey spaces and generalized Triebel–Lizorkin–Morrey spaces on the whole space. We also develop the theory of those spaces on domains. We consider an extension operator and a trace operator on the upper half space and on compact oriented Riemannian?manifolds. </abstract> </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 Type =“Main”XML：Lang =“en”> <标题类型=“main”>抽象</ title> 在本文中，我们考虑通过使用平滑的原子分解来考虑非平滑原子分解。应用非平滑原子分解，局部手段表征和Quarkonical分解，我们获得了一个点乘法器和用于全部空间的广义的BETOV-MORREY空间和普通的TRIEBEL-Lizorkin-Morrey空间。我们还开发了域名的那些空间的理论。我们考虑扩展运营商和上半空间的跟踪操作员以及紧凑的riemannian？歧管。</ p> </摘要> </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-24615/'>《Mathematische Nachrichten》</a> <b style="margin: 0 2px;">|</b><span>2019年第10期</span><b style="margin: 0 2px;">|</b><span>共40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=Izuki Mitsuo&option=202" target="_blank" rel="nofollow">Izuki Mitsuo;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Noi Takahiro&option=202" target="_blank" rel="nofollow">Noi Takahiro;</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>Faculty of Liberal Arts and SciencesTokyo City University1‐28‐1 Tamazutsumi Setagayaku Tokyo 158‐8557 Japan;</p> <p>Department of Mathematics and Information ScienceTokyo Metropolitan UniversityHachioji 192‐0397 Japan;</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=Besov space&option=203" rel="nofollow">Besov space;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Morrey space&option=203" rel="nofollow">Morrey space;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=non‐smooth atomic decomposition&option=203" rel="nofollow">non‐smooth atomic decomposition;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=trace operator&option=203" rel="nofollow">trace operator;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Triebel–Lizorkin space&option=203" rel="nofollow">Triebel–Lizorkin space;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Primary: 42B35&option=203" rel="nofollow">Primary: 42B35;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Secondary: 41A17&option=203" rel="nofollow">Secondary: 41A17;</a> </p> <div class="translation"> 机译：Besov空间;莫雷空间;非平滑原子分解;追踪运营商;Triebel-lizorkin空间;初级：42b35;二次：41a17; 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