Ψ-pseudodifferential operators and estimates for maximal oscillatory integrals
Carlos E. Kenig ; Wolfgang Staubach
Studia Mathematica, Tome 178 (2007), p. 249-258 / Harvested from The Polish Digital Mathematics Library
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We define a class of pseudodifferential operators with symbols a(x,ξ) without any regularity assumptions in the x variable and explore their Lp boundedness properties. The results are applied to obtain estimates for certain maximal operators associated with oscillatory singular integrals.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:285192 
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     title = {$\Psi$-pseudodifferential operators and estimates for maximal oscillatory integrals},
     journal = {Studia Mathematica},
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     year = {2007},
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     zbl = {1178.35397},
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Carlos E. Kenig; Wolfgang Staubach. Ψ-pseudodifferential operators and estimates for maximal oscillatory integrals. Studia Mathematica, Tome 178 (2007) pp. 249-258. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm183-3-3/