Global Range Estimates for Maximal Oscillatory Integrals with Radial Testfunctions

Details Global Range Estimates for Maximal Oscillatory Integrals with Radial Testfunctions Global Range Estimates for Maximal Oscillatory Integrals with Radial Testfunctions

2011-03-24

arxiv.org/abs/1103.4837v1

Mathematics

Classical Analysis and ODEs

Preprints in Mathematical Sciences 2011:1 ISSN 1403-9338, LUNFMA-5068-2011

Scientific paper

We consider the maximal function of oscillatory integrals and prove a global
estimate for radial test functions which is almost sharp with respect to the
Sobolev regularity.

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