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October 8, 2025Open Access

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

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Authors

PGPritam GangulyAGAbhishek Ghosh

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Overview

This article establishes dimension-free fefferman-stein inequalities for the Hardy-Littlewood maximal function, indicating implications for UMD lattices.

Key Points

  • Dimension-free fefferman-stein inequalities indicate significant results for the hard-littlewood maximal function.
  • The $L^p$-boundedness of the vector-valued nevo-thangavelu spherical maximal function plays a key role in proofs.
  • Generalization to more complex umd lattices broadens the scope of the initial findings.
  • This work enhances the understanding of maximal functions in the context of the heisenberg group.

Cite This Study

Ganguly et al. (2025) studied this question.

synapsesocial.com/papers/68e62de1a8c0c6d4587400d6https://doi.org/10.48550/arxiv.2503.15291
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Hardy-Littlewood maximal operator on spaces of exponential volume growth2025
  2. 2Uniform volume estimates and maximal functions on generalized Heisenberg-type groups2026
  3. 3Dimension-free maximal inequalities for lattice power balls and exact spheres2026
  4. 4Abstract Hardy inequalities: The case p=12024
  5. 5Geometric Hardy inequalities on the Heisenberg groups via convexity2025