Littlewood–Paley Theory for Triangle Buildings

For the natural two-parameter filtration [Formula: see text] on the boundary of a triangle building, we define a maximal function and a square function and show their boundedness on [Formula: see text] for [Formula: see text] . At the end, we consider [Formula: see text] boundedness of martingale tr...

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Detalles Bibliográficos
Autores principales: Steger, Tim, Trojan, Bartosz
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2017
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6294267/
https://www.ncbi.nlm.nih.gov/pubmed/30839901
http://dx.doi.org/10.1007/s12220-017-9856-6
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author Steger, Tim
Trojan, Bartosz
author_facet Steger, Tim
Trojan, Bartosz
author_sort Steger, Tim
collection PubMed
description For the natural two-parameter filtration [Formula: see text] on the boundary of a triangle building, we define a maximal function and a square function and show their boundedness on [Formula: see text] for [Formula: see text] . At the end, we consider [Formula: see text] boundedness of martingale transforms. If the building is of [Formula: see text] , then [Formula: see text] can be identified with p-adic Heisenberg group.
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spelling pubmed-62942672018-12-28 Littlewood–Paley Theory for Triangle Buildings Steger, Tim Trojan, Bartosz J Geom Anal Article For the natural two-parameter filtration [Formula: see text] on the boundary of a triangle building, we define a maximal function and a square function and show their boundedness on [Formula: see text] for [Formula: see text] . At the end, we consider [Formula: see text] boundedness of martingale transforms. If the building is of [Formula: see text] , then [Formula: see text] can be identified with p-adic Heisenberg group. Springer US 2017-05-08 2018 /pmc/articles/PMC6294267/ /pubmed/30839901 http://dx.doi.org/10.1007/s12220-017-9856-6 Text en © The Author(s) 2017 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Article
Steger, Tim
Trojan, Bartosz
Littlewood–Paley Theory for Triangle Buildings
title Littlewood–Paley Theory for Triangle Buildings
title_full Littlewood–Paley Theory for Triangle Buildings
title_fullStr Littlewood–Paley Theory for Triangle Buildings
title_full_unstemmed Littlewood–Paley Theory for Triangle Buildings
title_short Littlewood–Paley Theory for Triangle Buildings
title_sort littlewood–paley theory for triangle buildings
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6294267/
https://www.ncbi.nlm.nih.gov/pubmed/30839901
http://dx.doi.org/10.1007/s12220-017-9856-6
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