Math Seminar: Dr. Tang Pengcheng on Generalized Hilbert Operators

The Mathematics Institute will host an academic seminar on June 11, 2026, featuring Dr. Tang Pengcheng from the School of Mathematics and Statistics at Hunan University of Science and Technology.

Title: Generalized Integral-Type Hilbert Operators on F(p,q,s) Spaces

Time: Thursday, June 11, 2026, 09:30
Venue: D Shi 209, East Coast Campus

Invited by: Dr. Lin Qingze

Abstract:
For ( p \ge 1, s > 0, q+s > -1 ), the talk presents a complete characterization of the measures ( \mu ) for which the generalized integral-type Hilbert operator is bounded or compact on ( F(p,q,s) ) spaces. As consequences, the boundedness and compactness of the generalized Hilbert operator on ( F(p,p-1,s) ) spaces, analytic Morrey spaces, and Bergman-Morrey spaces are also established.

Speaker Profile:
Dr. Tang Pengcheng is a lecturer at the School of Mathematics and Statistics, Hunan University of Science and Technology. His research focuses on operator theory in analytic function spaces. He has published more than 20 papers in journals including Proc. Edinb. Math. Soc., Anal. Math. Phys., Complex Oper. Anal. Theory, and Acta Mathematica Sinica.

All faculty and students are welcome to attend.

Source: Mathematics Institute