On weighted spaces of functions harmonic in $\Bbb R^n$
Commentationes Mathematicae Universitatis Carolinae, Tome 47 (2006) no. 2, pp. 233-240
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The paper establishes integral representation formulas in arbitrarily wide Banach spaces $b^p_\omega(\Bbb R^n)$ of functions harmonic in the whole $\Bbb R^n$.
The paper establishes integral representation formulas in arbitrarily wide Banach spaces $b^p_\omega(\Bbb R^n)$ of functions harmonic in the whole $\Bbb R^n$.
Classification :
30H05, 31B05, 46E15
Keywords: weighted spaces; harmonic functions; integral representation; isometry
Keywords: weighted spaces; harmonic functions; integral representation; isometry
@article{CMUC_2006_47_2_a3,
author = {Petrosyan, A. I.},
title = {On weighted spaces of functions harmonic in $\Bbb R^n$},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {233--240},
year = {2006},
volume = {47},
number = {2},
mrnumber = {2241529},
zbl = {1150.30033},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2006_47_2_a3/}
}
Petrosyan, A. I. On weighted spaces of functions harmonic in $\Bbb R^n$. Commentationes Mathematicae Universitatis Carolinae, Tome 47 (2006) no. 2, pp. 233-240. http://geodesic.mathdoc.fr/item/CMUC_2006_47_2_a3/