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Holomorphic functions of fast growth on submanifolds of the domain

Volume 70 / 1998

Piotr Jakóbczak Annales Polonici Mathematici 70 (1998), 145-155 DOI: 10.4064/ap-70-1-145-155

Abstract

We construct a function f holomorphic in a balanced domain D in $ℂ^N$ such that for every positive-dimensional subspace Π of $ℂ^N$, and for every p with 1 ≤ p < ∞, $f|_{Π ∩ D}$ is not $L^p$-integrable on Π ∩ D.

Authors

  • Piotr Jakóbczak

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