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arXiv · 1605.06223

Bergman subspaces and subkernels: Degenerate $L^p$ mapping and zeroes

L. D. Edholm·J. D. McNeal
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Abstract

Regularity and irregularity of the Bergman projection on $L^p$ spaces is established on a natural family of bounded, pseudoconvex domains. The family is parameterized by a real variable $\gamma$. A surprising consequence of the analysis is that, whenever $\gamma$ is irrational, the Bergman projection is bounded only for $p=2$.

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L. D. Edholm, J. D. McNeal. 2016-05-20. Bergman subspaces and subkernels: Degenerate $L^p$ mapping and zeroes. https://doi.org/10.1007/s12220-017-9777-4

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