Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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GLOBAL MAXIMAL ESTIMATE TO SOME OSCILLATORY INTEGRALS

  • Niu, Yaoming (Faculty of Mathematics Baotou Teachers' College of Inner Mongolia University of Science and Technology) ;
  • Xue, Ying (Faculty of Mathematics Baotou Teachers' College of Inner Mongolia University of Science and Technology)
  • Received : 2017.02.08
  • Accepted : 2017.12.29
  • Published : 2018.03.31
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Abstract

Under the symbol ${\Omega}$ is a combination of ${\phi}_i$ ($i=1,2,3,{\ldots},n$) which has a suitable growth condition, for dimension n = 2 and $n{\geq}3$, when the initial data f belongs to homogeneous Sobolev space, we obtain the global $L^q$ estimate for maximal operators generated by operators family $\{S_{t,{\Omega}}\}_{t{\in}{\mathbb{R}}}$ associated with solution to dispersive equations, which extend some results in [27].

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References

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