Work

Sparse bounds for discrete maximal functions associated with Birch–Magyar averages

Year: 2025

Type: article

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.

Source: Mathematika

DOI: 10.1112/mtk.70048

Authors: Ankit Bhojak, Surjeet Singh Choudhary, Siddhartha Samanta, Saurabh Shrivastava

Institutions: Indian Institute of Science Education and Research, Bhopal, Indian Institute of Science Education and Research Mohali

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Indian Institute of Science, Indian Institute of Science Education and Research Bhopal, Indian Institute of Science Education and Research Mohali, Science and Engineering Research Board

Award: G3289280225