3 papers
math.FA2026
Kernel Takenaka-Malmquist Systems and Adaptive Approximation in Boundary Weighted Hardy Spaces
Tao Qian
Takenaka-Malmquist (TM) systems, as generalizations of the trigonometric function system, play a decisive role in approximation theory on the open unit disc and the upper-half comp…
math.FA2026
Hilbertian Hardy--Sobolev Spaces on Tube Domains over Convex Cones
Haichou Li, Tao Qian
We introduce Hilbertian Hardy--Sobolev spaces on tube domains over convex cones and develop their structural theory from a Fourier-analytic point of view. We first establish a Pale…
math.FA2026
Banach Hardy-Sobolev Spaces on the Upper Half-plane and Operator Theory
Haoxian Liang, Haichou Li, Tao Qian
We study Hardy--Sobolev spaces H_n^p(C^+) on the upper half-plane for 1<=p<=infty and n is a nonnegative integer, from both function-theoretic and operator-theoretic viewpoints. We…