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New examples of Fourier multipliers on $H^1\p{\mathbb{D}^2}$ revisited

Functional Analysis 2025-09-10 v1

Abstract

We show yet another family of examples of idempotent Fourier multipliers on H1\pD2H^1\p{\mathbb{D}^2}. The proof differs from our previous result and gets rid of arithmetical assumptions.

Keywords

Cite

@article{arxiv.2509.07641,
  title  = {New examples of Fourier multipliers on $H^1\p{\mathbb{D}^2}$ revisited},
  author = {Maciej Rzeszut},
  journal= {arXiv preprint arXiv:2509.07641},
  year   = {2025}
}