Loredana Lanzani

collaborators

3 papers

math.CV2025

The Cauchy--Szegö Projection for domains in $C^{n}$ with minimal smoothness: weighted theory

Xuan Thinh Duong, Loredana Lanzani, Ji Li +1

Let $D \subset C^{n}$ be a bounded, strongly pseudoconvex domain whose boundary $b D$ satisfies the minimal regularity condition of class $C^{2}$ . A 2017 result of Lanzani \& Stei…

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…

The Cauchy--Szegö Projection for domains in Cn with minimal smoothness: weighted theory

Boundary value problems for holomorphic functions on Lipschitz planar domains

New Properties of Holomorphic Sobolev-Hardy Spaces

The Cauchy--Szegö Projection for domains in $C^{n}$ with minimal smoothness: weighted theory