Boundedness of certain oscillatory singular integrals
Studia Mathematica, Tome 114 (1995) no. 2, pp. 105-116
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
We prove the $L^p$ and $H^1$ boundedness of oscillatory singular integral operators defined by Tf = p.v.Ω∗f, where $Ω(x) = e^{iΦ(x)}K(x)$, K(x) is a Calderón-Zygmund kernel, and Φ satisfies certain growth conditions.
@article{10_4064_sm_114_2_105_116,
author = {Dashan Fan},
title = {Boundedness of certain oscillatory singular integrals},
journal = {Studia Mathematica},
pages = {105--116},
year = {1995},
volume = {114},
number = {2},
doi = {10.4064/sm-114-2-105-116},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-114-2-105-116/}
}
Dashan Fan. Boundedness of certain oscillatory singular integrals. Studia Mathematica, Tome 114 (1995) no. 2, pp. 105-116. doi: 10.4064/sm-114-2-105-116
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