English

An $H^1$ multiplier theorem on anisotropic spaces

Functional Analysis 2026-01-29 v3 Classical Analysis and ODEs

Abstract

A parallel result of (the classical) Sledd--Stegenga's H1L1H^1\rightarrow L^1 multiplier theorem was obtained on the H1H^1 space under the anisotropic settings. Based on the same technique, an H1LpH^1\rightarrow L^p multiplier theorem is also proved for 1p<1\leq p<\infty.

Keywords

Cite

@article{arxiv.2508.17355,
  title  = {An $H^1$ multiplier theorem on anisotropic spaces},
  author = {Yiyu Tang},
  journal= {arXiv preprint arXiv:2508.17355},
  year   = {2026}
}
R2 v1 2026-07-01T05:03:28.248Z