English

Notes on bilinear lattice bump Fourier multipliers

Classical Analysis and ODEs 2021-09-21 v1

Abstract

We consider the bilinear Fourier multiplier operator with the multiplier written as a linear combination of a fixed bump function. For those operators we prove two transference theorems, one in amalgam spaces and the other in Wiener amalgam spaces.

Keywords

Cite

@article{arxiv.2109.08859,
  title  = {Notes on bilinear lattice bump Fourier multipliers},
  author = {Tomoya Kato and Akihiko Miyachi and Naohito Tomita},
  journal= {arXiv preprint arXiv:2109.08859},
  year   = {2021}
}

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17 pages