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math.FA2026
Sharp Fractional Riesz Estimates on the Hypercube
Yong Jiao, Sijie Luo, Dmitriy Zanin +1
Let be the -dimensional hypercube equipped with the normalized uniform measure, let be the Walsh gradient and let be the Walsh Laplacian. For eve…
math.FA2025
Almost uniform convergence for noncommutative Vilenkin-Fourier series
Yong Jiao, Sijie Luo, Tiantian Zhao +1
In the present paper, we study almost uniform convergence for noncommutative Vilenkin-Fourier series. Precisely, we establish several noncommutative (asymmetric) maximal inequaliti…
math.FA2024
Quantum KKL-type Inequalities Revisited
Yong Jiao, Wenlong Lin, Sijie Luo +1
In the present paper, we develop the random restriction method in the quantum framework. By applying this method, we establish the quantum Eldan-Gross inequality, the quantum Talag…