Work

Dimension free estimates for the vector-valued Hardy–Littlewood maximal function on the Heisenberg group

Year: 2025

Type: article

Abstract: In this article, we establish dimension-free Fefferman-Stein inequalities for the Hardy-Littlewood maximal function associated with averages over Korányi balls in the Heisenberg group. We also generalize the result to more general UMD lattices. As a key stepping stone, we establish the L p - boundedness of the vector-valued Nevo-Thangavelu spherical maximal function, which plays a crucial role in our proofs of the main theorems.

Source: Journal of Functional Analysis

DOI: 10.1016/j.jfa.2025.111285

Authors: Pritam Ganguly, Abhishek Ghosh

Institutions: Paderborn University, Indian Institute of Technology Jammu

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,250

Funder: Department of Science and Technology, Ministry of Science and Technology, India