Sparse bounds for discrete maximal functions associated with Birch–Magyar averages
Abstract In this article, we study discrete maximal function associated with the Birch–Magyar averages over sparse sequences. We establish sparse domination principle for such operators. As a consequence, we obtain ‐estimates for such discrete maximal functions over sparse sequences for all . The proof of sparse bounds is based on scale‐free ‐improving estimates for the single scale Birch–Magyar averages.
Authors
- Ankit Bhojak (ORCID: https://orcid.org/0000-0003-4049-4044)
- Saurabh RamBihariLal Shrivastava (ORCID: https://orcid.org/0000-0001-6102-7475)
- Surjeet Singh Choudhary (ORCID: https://orcid.org/0009-0005-2351-4797)
- S. K. Samanta (ORCID: https://orcid.org/0000-0003-2942-7983)
Institutions
- Indian Institute of Science Education and Research Mohali (IN)
- Indian Institute of Science Education and Research, Bhopal (IN)
Publication Details
- Journal
- Mathematika
- Published
- 2025-09-12
- DOI
- https://doi.org/10.1112/mtk.70048
- Primary Topic
- Advanced Harmonic Analysis Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00