Sparse Bounds for Discrete Maximal Functions associated with Birch-Magyar averages

Autor:	Bhojak, Ankit, Choudhary, Surjeet Singh, Samanta, Siddhartha, Shrivastava, Saurabh
Rok vydání:	2024
Předmět:	Mathematics - Number Theory Mathematics - Classical Analysis and ODEs Primary 11D72 42B25 Secondary 11P55 11L05
Druh dokumentu:	Working Paper
Popis:	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 $\ell^p$-estimates for such discrete maximal function over sparse sequences for all $p>1$. The proof of sparse bounds is based on scale-free $\ell^p-$improving estimates for the single scale Birch-Magyar averages. Comment: 19 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.06348 Zobrazit plný text záznamu View this record from Arxiv