中文

A counterexample for boundedness of pseudo-differential operators on modulation spaces

泛函分析 2007-05-23 v1 偏微分方程分析

摘要

We prove that pseudo-differential operators with symbols in the class S1,δ0S_{1,\delta}^0 (0<δ<10<\delta<1) are not always bounded on the modulation space Mp,qM^{p,q} (q2q\neq2).

关键词

引用

@article{arxiv.math/0701732,
  title  = {A counterexample for boundedness of pseudo-differential operators on modulation spaces},
  author = {Mitsuru Sugimoto and Naohito Tomita},
  journal= {arXiv preprint arXiv:math/0701732},
  year   = {2007}
}

备注

9 pages