On weighted spaces of functions harmonic in $\Bbb R^n$
Commentationes Mathematicae Universitatis Carolinae (2006)
- Volume: 47, Issue: 2, page 233-240
- ISSN: 0010-2628
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topPetrosyan, Albert I.. "On weighted spaces of functions harmonic in $\Bbb R^n$." Commentationes Mathematicae Universitatis Carolinae 47.2 (2006): 233-240. <http://eudml.org/doc/249847>.
@article{Petrosyan2006,
abstract = {The paper establishes integral representation formulas in arbitrarily wide Banach spaces $b^p_\omega(\Bbb R^n)$ of functions harmonic in the whole $\Bbb R^n$.},
author = {Petrosyan, Albert I.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {weighted spaces; harmonic functions; integral representation; isometry},
language = {eng},
number = {2},
pages = {233-240},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On weighted spaces of functions harmonic in $\Bbb R^n$},
url = {http://eudml.org/doc/249847},
volume = {47},
year = {2006},
}
TY - JOUR
AU - Petrosyan, Albert I.
TI - On weighted spaces of functions harmonic in $\Bbb R^n$
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2006
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 47
IS - 2
SP - 233
EP - 240
AB - The paper establishes integral representation formulas in arbitrarily wide Banach spaces $b^p_\omega(\Bbb R^n)$ of functions harmonic in the whole $\Bbb R^n$.
LA - eng
KW - weighted spaces; harmonic functions; integral representation; isometry
UR - http://eudml.org/doc/249847
ER -
References
top- Petrosyan A.I., On weighted classes of harmonic functions in the unit ball of $\bold R^n$, Complex Var. Theory Appl. 50 12 (2005), 953-966. (2005) MR2164690
- Petrosyan A.I., On $A^p_ømega$ spaces in the unit ball of $\Bbb C^n$, J. Anal. Appl. 3 1 47-53 (2005). (2005) MR2110499
- Djrbashian M.M., On canonical representation of functions meromorphic in the unit disc (in Russian), Dokl. Akad. Nauk of Armenia (1945), 3 1 3-9. (1945)
- Djrbashian M.M., On the representability problem of analytic functions (in Russian), Soobsch. Inst. Math. and Mech. AN Armenii 2 (1948), 3-40. (1948)
- Jerbashian A.M., On the theory of weighted classes of area integrable regular functions, Complex Var. Theory Appl. 50 3 155-183 (2005). (2005) Zbl1081.46024MR2123953
- Rudin W., Real and Complex Analysis, McGraw-Hill, New York, 1987. Zbl1038.00002MR0924157
- Axler S., Bourdon P., Ramsey W., Harmonic Function Theory, Springer, New York, 2001. MR1805196
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