## Abstract Let __H__(U) be the space of all analytic functions in the unit disk U, and let co__E__ denote the convex hull of the set __E__ โ โ. If __K__ โ __H__(U) then the operator I : __K__ โ __H__(U) is said to be an __averaging operator__ if For a function __h__ โ __A__ โ __H__(U) we will det
โฆ LIBER โฆ
A Class of Nonlinear Averaging Integral Operators
โ Scribed by Sanford S. Miller; Petru T. Mocanu
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 162 KB
- Volume
- 197
- Category
- Article
- ISSN
- 0022-247X
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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