Boundedness Results for Operators with Singular Kernels on Distribution Spaces.
Torres, Rodolfo H.
Boundedness Results for Operators with Singular Kernels on Distribution Spaces. - 1st ed. - 1 online resource (185 pages)
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 CalderónZygmund 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.
9781470408688
Theory of distributions (Functional analysis).
Pseudodifferential operators.
Decomposition method.
Electronic books.
QA402.2 -- .T677 1991eb
510 s
Boundedness Results for Operators with Singular Kernels on Distribution Spaces. - 1st ed. - 1 online resource (185 pages)
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 CalderónZygmund 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.
9781470408688
Theory of distributions (Functional analysis).
Pseudodifferential operators.
Decomposition method.
Electronic books.
QA402.2 -- .T677 1991eb
510 s