Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Global and Local Regularity of Fourier Integral Operators on Weighted and Unweighted Spaces
 
David Dos Santos Ferreira Université Paris 13, Villetaneuse, France
Wolfgang Staubach Uppsala University , Uppsala , Sweden
Global and Local Regularity of Fourier Integral Operators on Weighted and Unweighted Spaces
Global and Local Regularity of Fourier Integral Operators on Weighted and Unweighted Spaces
eBook ISBN:  978-1-4704-1528-0
Product Code:  MEMO/229/1074.E
List Price: $63.00
MAA Member Price: $56.70
AMS Member Price: $37.80
Global and Local Regularity of Fourier Integral Operators on Weighted and Unweighted Spaces
Click above image for expanded view
Global and Local Regularity of Fourier Integral Operators on Weighted and Unweighted Spaces
Global and Local Regularity of Fourier Integral Operators on Weighted and Unweighted Spaces
David Dos Santos Ferreira Université Paris 13, Villetaneuse, France
Wolfgang Staubach Uppsala University , Uppsala , Sweden
eBook ISBN:  978-1-4704-1528-0
Product Code:  MEMO/229/1074.E
List Price: $63.00
MAA Member Price: $56.70
AMS Member Price: $37.80
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2292013; 65 pp
    MSC: Primary 35; 42;

    The authors investigate the global continuity on \(L^p\) spaces with \(p\in [1,\infty]\) of Fourier integral operators with smooth and rough amplitudes and/or phase functions subject to certain necessary non-degeneracy conditions. In this context they prove the optimal global \(L^2\) boundedness result for Fourier integral operators with non-degenerate phase functions and the most general smooth Hörmander class amplitudes i.e. those in \(S^{m} _{\varrho, \delta}\) with \(\varrho , \delta \in [0,1]\). They also prove the very first results concerning the continuity of smooth and rough Fourier integral operators on weighted \(L^{p}\) spaces, \(L_{w}^p\) with \(1< p < \infty\) and \(w\in A_{p},\) (i.e. the Muckenhoupt weights) for operators with rough and smooth amplitudes and phase functions satisfying a suitable rank condition.

  • Table of Contents
     
     
    • Chapters
    • Introduction
    • 1. Prolegomena
    • 2. Global Boundedness of Fourier Integral Operators
    • 3. Global and Local Weighted $L^p$ Boundedness of Fourier Integral Operators
    • 4. Applications in Harmonic Analysis and Partial Differential Equations
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2292013; 65 pp
MSC: Primary 35; 42;

The authors investigate the global continuity on \(L^p\) spaces with \(p\in [1,\infty]\) of Fourier integral operators with smooth and rough amplitudes and/or phase functions subject to certain necessary non-degeneracy conditions. In this context they prove the optimal global \(L^2\) boundedness result for Fourier integral operators with non-degenerate phase functions and the most general smooth Hörmander class amplitudes i.e. those in \(S^{m} _{\varrho, \delta}\) with \(\varrho , \delta \in [0,1]\). They also prove the very first results concerning the continuity of smooth and rough Fourier integral operators on weighted \(L^{p}\) spaces, \(L_{w}^p\) with \(1< p < \infty\) and \(w\in A_{p},\) (i.e. the Muckenhoupt weights) for operators with rough and smooth amplitudes and phase functions satisfying a suitable rank condition.

  • Chapters
  • Introduction
  • 1. Prolegomena
  • 2. Global Boundedness of Fourier Integral Operators
  • 3. Global and Local Weighted $L^p$ Boundedness of Fourier Integral Operators
  • 4. Applications in Harmonic Analysis and Partial Differential Equations
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.