Singular integrals and Fourier theory on Lipschitz boundaries. (2019)

• Record Type: Book
• Further Information: Note: Tao Qian, Pengtao Li.
• Authors: Qian, Tao; Li, Pengtao
• Contents: 2.3 Singular Integrals on Starlike Lipschitz Curves2.4 Holomorphic Hinfty-Functional Calculus on Starlike Lipschitz Curves; 2.5 Remarks; References; 3 Clifford Analysis, Dirac Operator and the Fourier Transform; 3.1 Preliminaries on Clifford Analysis; 3.2 Monogenic Functions on Sectors; 3.3 Fourier Transforms on the Sectors; 3.4 Möbius Covariance of Iterated Dirac Operators; 3.5 The Fueter Theorem; 3.6 Remarks; References; 4 Convolution Singular Integral Operators on Lipschitz Surfaces; 4.1 Clifford-Valued Martingales; 4.2 Martingale Type T(b) Theorem 6.4 The Analogous Theory in mathbbRn6.5 Hilbert Transforms on the Sphere and Lipschitz Surfaces; 6.6 Remarks; References; 7 The Fractional Fourier Multipliers on Lipschitz Curves and Surfaces; 7.1 The Fractional Fourier Multipliers on Lipschitz Curves; 7.2 Fractional Fourier Multipliers on Starlike Lipschitz Surfaces; 7.3 Integral Representation of Sobolev-Fourier Multipliers; 7.4 The Equivalence of Hardy-Sobolev Spaces; 7.5 Remarks; References; 8 Fourier Multipliers and Singular Integrals on mathbbCn; 8.1 A Class of Singular Integral Operators on the n-Complex Unit Sphere 8.2 Fractional Multipliers on the Unit Complex Sphere8.3 Fourier Multipliers and Sobolev Spaces on Unit Complex Sphere; References; Bibliography; Index
• Publisher Details: Singapore Beijing, China : Springer Science Press
• Publication Date: 2019
• Extent: 1 online resource (xv, 306 pages), illustrations (some color)
• Subjects: 515/.73; Lipschitz spaces; Fourier analysis; Electronic books; Electronic books
• Languages: English
• ISBNs: 9789811365003; 9811365008
• Related ISBNs: 9789811364990; 9811364990
• Notes: Note: Online resource; title from PDF title page (SpringerLink, viewed March 27, 2019).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.