In this paper we develop elements of the global calculus of Fourier integral operators in R n under minimal decay assumptions on phases and amplitudes. We also establish global weighted Sobolev L 2 estimates for a class of Fourier integral operators that appears in the analysis of global smoothing p
Local Lp estimates for fourier-airy integral operators
β Scribed by Michael Beals
- Publisher
- John Wiley and Sons
- Year
- 1982
- Tongue
- English
- Weight
- 601 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0010-3640
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## Abstract The __L^p^__βLiouville property of a nonβlocal operator \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathcal {A}$\end{document} is investigated via the associated Dirichlet form \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}
We prove a local maximum principle and weak Harnack inequality for parabolic difference inequalities analogous to previous work on elliptic difference inequalities. As applications, we have discrete analogues of the HΓΆlder and Harnack estimates of Krylov and Safonov and results pertaining to the sta