Jue Xiong

collaborators

2 papers

math.CV2024

Boundary value problems for holomorphic functions on Lipschitz planar domains

William Gryc, Loredana Lanzani, Jue Xiong +1

We study the $\partial ˉ$ equation subject to various boundary value conditions on bounded simply connected Lipschitz domains $D \subset C$ : for the Dirichlet problem with…

math.CV2024

New Properties of Holomorphic Sobolev-Hardy Spaces

William Gryc, Loredana Lanzani, Jue Xiong +1

We give new characterizations of the optimal data space for the $L^{p} (b D, σ)$ -Neumann boundary value problem for the $\partial ˉ$ operator associated to a bounded, Lipschitz doma…