Irregularity of the Szeg\"o Projection on Bounded Pseudoconvex Domains in $\mathbb{C}^2$

Samangi Munasinghe; Yunus E. Zeytuncu

arxiv: 1503.01760 · v1 · pith:WJ4IBNXLnew · submitted 2015-03-05 · 🧮 math.CV

Irregularity of the Szeg\"o Projection on Bounded Pseudoconvex Domains in mathbb{C}²

Samangi Munasinghe , Yunus E. Zeytuncu This is my paper

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keywords boundeddomainsmathbbprojectionpseudoconvexszegboundaryconstruct

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We construct bounded pseudoconvex domains in $\mathbb{C}^2$ for which the Szeg\"o projection operators are unbounded on $L^p$ spaces of the boundary for all $p\not =2$.

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Irregularity of the Szeg\"o Projection on Bounded Pseudoconvex Domains in mathbb{C}²

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