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Boundedness Results for Operators with Singular Kernels on Distribution Spaces.

By: Material type: TextTextPublisher: Providence : American Mathematical Society, 2013Copyright date: ©1991Edition: 1st edDescription: 1 online resource (185 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470408688
Subject(s): Genre/Form: Additional physical formats: Print version:: Boundedness Results for Operators with Singular Kernels on Distribution SpacesDDC classification:
  • 510 s
LOC classification:
  • QA402.2 -- .T677 1991eb
Online resources:
Contents:
Intro -- Table of Contents -- Abstract -- Acknowledgments -- Notation -- 0. Introduction -- 1. The Atomic Decomposition of the Triebel-Lizorkin spaces -- 1.1 The homogeneous Triebel-Lizorkin spaces -- 1.2 The inhomogeneous Triebel-Lizorkin spaces -- 2. Generalized Calderón-Zygmund Operators -- 2.1 Some preliminary background and motivation -- 2.2 Generalized Calderón-Zygmund operators and functions of polynomial growth -- 2.3 The Weak Boundedness Property -- 3. Generalized Calderón-Zygmund Operators on Triebel-Lizorkin Spaces -- 3.1 L[sup(∞)]„estimates for Generalized Calderón„Zygmund operators -- 3.2 Boundedness criteria for Generalized Calderón-Zygmund operators -- 4. Operators with Singular Kernels of Different Sizes -- 4.1 The class OPK[sup(m)](l+ε) -- 4.2 The Weak Boundedness Property and L[sup(∞)]„estimates for the class OPK[sup(m)](l+ε) -- 4.3 Some boundedness results -- 5. Pseudodifferential Operators on Triebel-Lizorkin Spaces -- 5.1 Some basic facts about pseudodifferential operators -- 5.2 Boundedness results for pseudodifferential operators -- 5.3 Some final remarks -- References.
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Intro -- Table of Contents -- Abstract -- Acknowledgments -- Notation -- 0. Introduction -- 1. The Atomic Decomposition of the Triebel-Lizorkin spaces -- 1.1 The homogeneous Triebel-Lizorkin spaces -- 1.2 The inhomogeneous Triebel-Lizorkin spaces -- 2. Generalized Calderón-Zygmund Operators -- 2.1 Some preliminary background and motivation -- 2.2 Generalized Calderón-Zygmund operators and functions of polynomial growth -- 2.3 The Weak Boundedness Property -- 3. Generalized Calderón-Zygmund Operators on Triebel-Lizorkin Spaces -- 3.1 L[sup(∞)]„estimates for Generalized Calderón„Zygmund operators -- 3.2 Boundedness criteria for Generalized Calderón-Zygmund operators -- 4. Operators with Singular Kernels of Different Sizes -- 4.1 The class OPK[sup(m)](l+ε) -- 4.2 The Weak Boundedness Property and L[sup(∞)]„estimates for the class OPK[sup(m)](l+ε) -- 4.3 Some boundedness results -- 5. Pseudodifferential Operators on Triebel-Lizorkin Spaces -- 5.1 Some basic facts about pseudodifferential operators -- 5.2 Boundedness results for pseudodifferential operators -- 5.3 Some final remarks -- References.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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