Calderón–Zygmund theory on some Lie groups of exponential growth
Year: 2024
Type: article
Abstract: Let , where is a stratified Lie group and acts on via automorphic dilations. We prove that the group has the Calderón–Zygmund property, in the sense of Hebisch and Steger, with respect to a family of flow measures and metrics. This generalizes in various directions previous works by Hebisch and Steger and Martini et al., and provides a new approach in the development of the Calderón–Zygmund theory in Lie groups of exponential growth. We also prove a weak‐type (1,1) estimate for the Hardy–Littlewood maximal operator naturally arising in this setting.
Source: Mathematische Nachrichten
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,300
Funders: Compagnia di San Paolo, Istituto Nazionale di Alta Matematica "Francesco Severi", European Commission, Generalitat de Catalunya, Ministerio de Ciencia e Innovación, Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni, Spanish National Plan for Scientific and Technical Research and Innovation, NextGenerationEU
OpenAlex ID: W4404042460