Author: "Qi, Jinyun" / Language: english - Searchworks@Jio Institute Digital Library Search Results

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Author: Li, Jinjiang, Qi, Jinyun, and Zhang, Min
Subjects: Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT)
Abstract: Suppose that $\alpha,\beta\in\mathbb{R}$. Let $\alpha\geqslant1$ and $c$ be a real number in the range $1, Comment: 12 pages. arXiv admin note: text overlap with arXiv:2109.00461
Published: 2022

Author: Qi, Jinyun, Guo, Victor Zhenyu, and Xu, Zhefeng
Subjects: *EXPONENTIAL sums, *INTEGERS
Abstract: The Piatetski-Shapiro sequences are sequences of the form ( n c ) with c ≥ 1 and c ∉ ℕ. We investigate the distribution of k th powers in Piatetski-Shapiro sequences. Moreover, we study the solution of a more general equation n c = s m k with m , n ∈ ℕ , 1 ≤ n ≤ N for an integer s. We obtain bounds for different values of k and an average bound over k -free numbers s in an interval. In the end, we also study the solution of the equation n c = s p 2 for which p is a prime number. [ABSTRACT FROM AUTHOR]
Published: 2022
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Author: Qi, Jinyun, Shi, Hongxia, and Li, Wenming
Subjects: *COMMUTATORS (Operator theory), *SINGULAR integrals, *INTEGRAL operators, *FRACTIONAL integrals, *BOUNDED mean oscillation, *MATHEMATICAL functions
Abstract: In this paper, we obtain the weighted endpoint estimates for the commutators of the singular integral operators with the BMO functions and the associated maximal operators on Orlicz-Morrey Spaces. We also get the similar results for the commutators of the fractional integral operators with the BMO functions and the associated maximal operators. [ABSTRACT FROM AUTHOR]
Published: 2019
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