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Boundedness of oscillatory integral operators and their commutators on weighted Morrey spaces

Functional Analysis 2011-11-23 v1

Abstract

It is proved that both oscillatory integral operators and fractional oscillatory integral operators are bounded on weighted Morrey spaces. The corresponding commutators generated by BMOBMO functions are also considered.

Keywords

Cite

@article{arxiv.1111.5109,
  title  = {Boundedness of oscillatory integral operators and their commutators on weighted Morrey spaces},
  author = {Zunwei Fu and Shaoguang Shi and Shanzhen Lu},
  journal= {arXiv preprint arXiv:1111.5109},
  year   = {2011}
}

Comments

15 pages