Xiaofen Lv

activity

20162026

collaborators

9 papers

math.FA2026

Carleson measures, tent embeddings, and Volterra-type integral operators on the unit ball

Xiaofen Lv, Xiaomin Tang, Jani A. Virtanen

In this paper, we establish a sharp comparison between Carleson-cube and Bergman-metric-ball conditions on the open unit ball $\B$ and combine it with a Berezin-type characterizati…

math.FA2026

Absolutely summing Hankel operators on Fock spaces and the Berger-Coburn phenomenon

Zhangjian Hu, Xiaofen Lv

In this paper, for $1 \leq p, r < \infty$ we characterize those symbols $f$ so that the induced Hankel operators $H_{f}$ are $r$ -summing from Fock spaces $F_{α}^{p}$ to $L_{α}^{p}$ . The main…

math.FA2021

Tent Carleson measures for Hardy spaces

Xiaofen Lv, Jordi Pau

We completely characterize those positive Borel measures $μ$ on the unit ball $B_{n}$ such that the Carleson embedding from Hardy spaces $H^{p}$ into the tent-type spaces $T^…

math.CV2021

Boundedness of area operators on Bergman spaces

Xiaofen Lv, Jordi Pau, Maofa Wang

We completely characterize the boundedness of the area operators from the Bergman spaces $A_{α}^{p} (B_{n})$ to the Lebesgue spaces $L^{q} (S_{n})$ for all $0 < p, q < \infty$ .…

math.CV2017

Localization and compactness of Operators on Fock Spaces

Zhangjian Hu, Xiaofen Lv, Brett D. Wick

For $0 < p \leq \infty$ , let $F_{φ}^{p}$ be the Fock space induced by a weight function $φ$ satisfying $d d^{c} φ ≃ ω_{0}$ . In this paper, given $p \in (0, 1]$ we introduce the concept of…

math.AP2016

Regularity of hyperbolic magnetic Schrödinger equation with oscillating coefficients

Xiaojun Lu, Xiaofen Lv

This paper mainly discuss the regularity behavior of the hyperbolic magnetic Schroedinger equation with singular coefficients near the origin. We apply the techniques from the micr…

math.OC2016

Analytic solutions for the approximated 1-D Kantorovich mass transfer problems

Xiaojun Lu, Xiaofen Lv

This paper mainly investigates the approximation of a global maximizer of the 1-D Monge-Kantorovich mass transfer problem through the approach of nonlinear differential equations w…

math.OC2016

Analytic solutions for the approximation of $p$ -Laplacian problem

Xiaojun Lu, Xiaofen Lv

This paper mainly investigates the analytic solutions for the approximation of $p$ -Laplacian problem. Through an approximation mechanism, we convert the nonlinear partial different…

math-ph2016

A new approach for the strong unique continuation of electromagnetic Schroedinger operator with complex-valued coefficient

Xiaojun Lu, Xiaofen Lv

This paper mainly addresses the strong unique continuation property for the electromagnetic Schrödinger operator with complex-valued coefficients. Appropriate multipliers with phys…

Carleson measures, tent embeddings, and Volterra-type integral operators on the unit ball

Absolutely summing Hankel operators on Fock spaces and the Berger-Coburn phenomenon

Tent Carleson measures for Hardy spaces

Boundedness of area operators on Bergman spaces

Localization and compactness of Operators on Fock Spaces

Regularity of hyperbolic magnetic Schrödinger equation with oscillating coefficients

Analytic solutions for the approximated 1-D Kantorovich mass transfer problems

Analytic solutions for the approximation of p-Laplacian problem

A new approach for the strong unique continuation of electromagnetic Schroedinger operator with complex-valued coefficient

Analytic solutions for the approximation of $p$ -Laplacian problem