arXiv:math/0311186 Abstract

arXiv:math/0311186 [math.AP]Abstract References Reviews Resources

Some remarks on the $L^p-L^q$ boundedness of trigonometric sums and oscillatory integrals

Published 2003-11-12Version 1

We discuss the asymptotic behaviour for the best constant in L^p-L^q estimates for trigonometric polinomials and for an integral operator which is related to the solution of inhomogeneous Schrodinger equations. This gives us an opportunity to review some basic facts about oscillatory integrals and the method of stationary phase, and also to make some remarks in connection with Strichartz estimates.

Comments: 20 pages, 2 figures

Categories: math.AP, math.CA

Subjects: 26D15, 42A05

Keywords: oscillatory integrals, trigonometric sums, boundedness, asymptotic behaviour, basic facts

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arXiv:math/0311186 [math.AP]Abstract References Reviews Resources

Some remarks on the $L^p-L^q$ boundedness of trigonometric sums and oscillatory integrals

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arXiv:math/0311186 [math.AP]AbstractReferencesReviewsResources

Some remarks on the $L^p-L^q$ boundedness of trigonometric sums and oscillatory integrals

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arXiv:math/0311186 [math.AP]Abstract References Reviews Resources