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Exact L2 convergence through the wavelet and tent space characterizations of hp(ℝn), 0<p≤ 1

  • Mohamed El Aoumari
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Abstract

We extend the wavelet and tent space characterization of h1(ℝn) to 0<p≤ 1 via a local dyadic tent space tp, and derive the unconditional L2-convergence of the resulting atomic decomposition, with an exact error identity refining Ding, Jiang and Zhu (2019).

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Cite

BibTeXRIS
BibTeX
@misc{aoumari2026exact,
  title = {{Exact $L^2$ convergence through the wavelet and tent space characterizations of $h^p(\mathbbR^n)$, $0<p\le 1$}},
  author = {Mohamed El Aoumari},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.35886},
  eprint = {2610.35886},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.35886},
}
RIS
TY  - UNPB
TI  - Exact L^2 convergence through the wavelet and tent space characterizations of h^p(ℝ^n), 0<p≤ 1
AU  - Mohamed El Aoumari
PY  - 2026
DA  - 2026/10/01
PB  - arXiv
DO  - 10.48550/arxiv.2610.35886
UR  - https://arxiv.org/abs/2610.35886
AB  - We extend the wavelet and tent space characterization of h^1(ℝ^n) to 0<p≤ 1 via a local dyadic tent space t_p, and derive the unconditional L^2-convergence of the resulting atomic decomposition, with an exact error identity refining Ding, Jiang and Zhu (2019).
ER  -