Abstract
In this note we construct the functionf holomorphic in the unit ballB in ℂN such that for every positive-dimensional subspace Π of ℂN,f|П⋂B is notL 2-integrable. We present also some possible generalizations of this result.
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Partially supported by the KBN Grant 2 PO3A 060 08.
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Jakóbczak, P. Highly nonintegrable functions in the unit ball. Isr. J. Math. 97, 175–181 (1997). https://doi.org/10.1007/BF02774034
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DOI: https://doi.org/10.1007/BF02774034