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

preprint2015arXivOpen access

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

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

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Irregularity of the Szegö Projection on Bounded Pseudoconvex Domains in C2\mathbb{C}^2C2

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