Loredana Lanzani

collaborators

4 papers

math.CV2025

The Unified Transform Method: beyond circular or convex domains

Jesse J. Hulse, Loredana Lanzani, Stefan G. Llewellyn Smith +1

A new transform-based approach is presented that can be used to solve mixed boundary value problems for Laplace's equation in non-convex and other planar domains, specifically the…

math.CV2025

The Cauchy--SzegÃ¶ 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.CV2025

The commutator of the Cauchy--SzegÅ Projection for domains in $C^{n}$ with minimal smoothness: weighted regularity

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 $C^{2}$ , and let $S_{I ¨} $ denote the Cauchy…

math.CV2025

A new way to express boundary values in terms of holomorphic functions on planar Lipschitz domains

Steven R. Bell, Loredana Lanzani, Nathan A. Wagner

We decompose $p$ - integrable functions on the boundary of a simply connected Lipschitz domain $I^c ◯ \subset C$ into the sum of the boundary values of two, uniquely determined…

The Unified Transform Method: beyond circular or convex domains

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

The commutator of the Cauchy--SzegÅ Projection for domains in Cn with minimal smoothness: weighted regularity

A new way to express boundary values in terms of holomorphic functions on planar Lipschitz domains

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

The commutator of the Cauchy--SzegÅ Projection for domains in $C^{n}$ with minimal smoothness: weighted regularity