Global and local regularity of Fourier integral operators on weighted and unweighted spaces / David Dos Santos Ferreira, Wolfgang Staubach.

Format:

Book

Author/Creator:

Ferreira, David Dos Santos, 1975- author.

Staubach, Wolfgang, 1970- author.

Contributor:

American Mathematical Society, publisher.

Series:

Memoirs of the American Mathematical Society ; no. 1074.

Memoirs of the American Mathematical Society, 0065-9266 ; number 1074

Language:

English

Subjects (All):

Fourier integral operators.

Mathematical analysis.

Physical Description:

xiv, 65 pages ; 26 cm.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 2014.

Language Note:

Text in English.

Contents:

Prolegomena

Definitions, notations and preliminaries

Tools in proving boundedness

Links between nonsmoothness and global boundedness

Global boundedness of Fourier integral operators

Global boundedness of rough Fourier integral operators

Local and global boundedness of Fourier integral operators

Global and local weighted boundedness of Fourier integral operators

Tools in proving weighted boundedness

Counterexamples in the context of weighted boundedness

Invariant formulation in the local boundedness

Weighted local and global boundedness of Fourier integral operators

Applications in harmonic analysis and partial differential equations

Estimates in weighted Triebel-Lizorkin spaces

Commutators with BMO functions

Applications to hyperbolic partial differential equations.

Notes:

"May 2014, volume 229, number 1074 (first of 5 numbers)."

Includes bibliographical references.

ISBN:

9780821891193

0821891197

OCLC:

867024391