We construct a sequence of homogeneous polynomials on the unit ball in which are big at each point of the unit sphere . As an application we construct a holomorphic function on which is not integrable with any power on the intersection of with any complex subspace.
@article{bwmeta1.element.bwnjournal-article-apmv65z3p245bwm,
author = {P. Wojtaszczyk},
title = {On highly nonintegrable functions and homogeneous polynomials},
journal = {Annales Polonici Mathematici},
volume = {66},
year = {1997},
pages = {245-251},
zbl = {0872.32001},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv65z3p245bwm}
}
P. Wojtaszczyk. On highly nonintegrable functions and homogeneous polynomials. Annales Polonici Mathematici, Tome 66 (1997) pp. 245-251. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv65z3p245bwm/
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