English

Unimodular multipliers on $\alpha$-modulation spaces: A revisit with new method under weaker conditions

Classical Analysis and ODEs 2019-03-19 v1

Abstract

By a new method derived from Nicola--Primo--Tabacco[24], we study the boundedness on α\alpha-modulation spaces of unimodular multipliers with symbol eiμ(ξ)e^{i\mu(\xi)}. Comparing with the previous results, the boundedness result is established for a larger family of unimodular multipliers under weaker assumptions.

Keywords

Cite

@article{arxiv.1903.06929,
  title  = {Unimodular multipliers on $\alpha$-modulation spaces: A revisit with new method under weaker conditions},
  author = {Guoping Zhao and Weichao Guo},
  journal= {arXiv preprint arXiv:1903.06929},
  year   = {2019}
}