| OPERATOR-VALUED FOURIER MULTIPLIER THEOREMS ON TRIEBEL SPACES |
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| 作者姓名： | 步尚全 Kim Jin-Myong |
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| 作者单位： | [1]Department of Mathematical Science, University of Tsinghua, Beijing 100084, China [2]Department of Mathematics, University of Kim Il Sung, DPR KoreaDepartment of Mathematical Science, University of Tsinghua, Beijing 100084, China |
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| 基金项目： | 国家自然科学基金，the Specialized Research Fund for the Doctoral Program of Higher Education and the Excellent Young Teacher Program of MOE |
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| 摘 要： | 1IntroductionIn a series of recent publications operator-valued Fourier multipliers on vector-valued func-tion spaces were studied(see e.g.1,2,3,5,6,7,14,16]).They are needed to establish existence anduniqueness as well as regularity of di?erential equat…
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| 关 键 词： | 傅立叶乘法理论 Triebel空间 向量值 不等式 规律性 |
| 收稿时间： | 2002-11-19 |
OPERATOR-VALUED FOURIER MULTIPLIER THEOREMS ON TRIEBEL SPACES |
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| Bu Shangquan,Kim Jin-Myong.OPERATOR-VALUED FOURIER MULTIPLIER THEOREMS ON TRIEBEL SPACES[J].Acta Mathematica Scientia,2005,25(4):599-609. |
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| Authors: | Bu Shangquan Kim Jin-Myong |
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| Institution: | 1. Charité – Universitätsmedizin Berlin, Department of Dermatology, Venerology and Allergology, Center of Experimental and Applied Cutaneous Physiology, Charitéplatz 1, 10117 Berlin, Germany;2. Kim Il Sung University, Ryongnam-Dong, Taesong District, Pyongyang, Democratic People''s Republic of Korea;1. College of Chemistry, Jilin University, Changchun 130012, China;2. Department of Chemistry, Kimchaek University of Technology, Pyongyang 999093, Republic of Korea;3. State Key Laboratory of Inorganic Synthesis and Preparative Chemistry, College of Chemistry, Jilin University, Changchun 130012, China;1. Key Laboratory of Economic Stratigraphy and Palaeogeography, Nanjing Institute of Geology and Palaeontology, Chinese Academy of Sciences, Nanjing 210008, China;2. University of Chinese Academy of Sciences, Beijing 100049, China;3. Department of Resources Exploration Engineering, Kim Chaek University of Technology, Pyongyang, Democratic People''s Republic of Korea;4. Department of Earth and Environmental Sciences, Korea University, Seoul 136-701, Republic of Korea;5. Department of Earth and Environmental Sciences, Andong National University, Andong 760-749, Republic of Korea;6. College of Earth Science, Jilin University, Changchun 130061, China;1. Institute of Physics, Unjong district, Phyongyang, Democratic People''s Republic of Korea;2. Institute of Laser, Unjong district, Phyongyang, Democratic People''s Republic of Korea;3. Institute of Physics, Chinese Academy of Sciences, P.O. Box 603, Beijing 100190, China;1. Faculty of Mechanics, Kim Il Sung University, Pyongyang, Democratic People''s Republic of Korea;2. Faculty of Mathematics, Kim Il Sung University, Pyongyang, Democratic People''s Republic of Korea |
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| Abstract: | The authors establish operator-valued Fourier multiplier theorems on Triebel spaces on RN, where the required smoothness of the multiplier functions depends on the dimension N and the indices of the Triebel spaces. This is used to give a sufficient condition of the maximal regularity in the sense of Triebel spaces for vector-valued Cauchy problems with Dirichlet boundary conditions. |
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| Keywords: | Operator-valued Fourier multiplier vector-valued Triebel space Fourier type vector-valued maximal inequality maximal regularity |
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