Skip to content
DraconiticResearch
Search Sources API
206,690 studies31 sourcesUpdated 18 min ago
PreprintPublisher termsHAL

On Cowling's Lp-integrability conjecture for Kunze--Stein groups

  • Siwei Liang
Open at sourcePDFDOICite

Abstract

We prove a stronger form of Cowling's Lp-integrability conjecture for an admissible class of Kunze--Stein groups containing all S-algebraic groups and all closed CCR boundary-transitive subgroups of tree automorphism groups. We also disprove a cyclic version formulated by Samei--Wiersma.

Related

  1. Group-free radial Kunze-Stein phenomenon on affine buildings
    Łukasz Pawlak
    arXivPreprintCC BY 4.0Full textAnalysis & PDEsarXiv
  2. On Ck convex variants of Stein's Weighted L2 Conjecture for Bochner-Riesz means
    Ruixiang Zhang
    arXivPreprintCC BY-NC-ND 4.0Full textAnalysis & PDEsarXiv
  3. Self-similar groups and holomorphic dynamics: renormalization, integrability, and spectrum
    N.-B. Dang, R. Grigorchuk, M. Lyubich
    Arnold Mathematical JournalPeer-reviewedHAL deposit licenceFull text7 citedDynamical systemsHAL
  4. Extremals and stability for the Folland-Stein inequality on H-type groups
    Zhipeng Yang
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
  5. The Zygmund conjecture and Rey's exponential integrability conjecture
    Henri Martikainen
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv

Cite

BibTeXRIS
BibTeX
@misc{liang2026cowlings,
  title = {{On Cowling's $L^p$-integrability conjecture for Kunze--Stein groups}},
  author = {Siwei Liang},
  howpublished = {HAL},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.17052},
  eprint = {2609.17052},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05739915v1},
}
RIS
TY  - UNPB
TI  - On Cowling's L^p-integrability conjecture for Kunze--Stein groups
AU  - Siwei Liang
PY  - 2026
DA  - 2026/09/06
PB  - HAL
DO  - 10.48550/arxiv.2609.17052
UR  - https://hal.science/hal-05739915v1
AB  - We prove a stronger form of Cowling's L^p-integrability conjecture for an admissible class of Kunze--Stein groups containing all S-algebraic groups and all closed CCR boundary-transitive subgroups of tree automorphism groups. We also disprove a cyclic version formulated by Samei--Wiersma.
ER  -