Global and Local Regularity of Fourier Integral Operators on Weighted and Unweighted Spaces (eBook)

David Dos Santos Ferreira (Autor)

eBook Download: PDF

65 Seiten
American Mathematical Society (Verlag)
978-1-4704-1528-0 (ISBN)

Infos

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 Hoermander 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.

Produkt-Details

• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• ISBN-10: 1-4704-1528-3 / 1470415283
• ISBN-13: 978-1-4704-1528-0 / 9781470415280