an:03923352
Zbl 0577.42010
Stein, Elias M.
Some oscillatory integrals and their applications
EN
Journ. ??qu. D??riv. Partielles, Saint-Jean-De-Monts 1985, No. 1, Exp. No. 4, 5 p. (1985).
1985
j
42A50 42B25 42A38
maximal functions; nilpotent Lie groups; oscillatory integrals
Summary: We discuss several kinds of oscillatory integrals, and we describe briefly their applications to some questions related to the \({\bar \partial}\)-Neumann problem, real-variable problems connected with certain maximal functions, and analysis on nilpotent Lie groups. The three kinds of oscillatory integrals we treat are in appearance quite different from each other, but in reality the ideas used to deal with each have much in common. This paper describes some joint work done with D. H. Phong, C. D. Sogge and F. Ricci.