Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک
IJMSI
Basic Sciences
http://ijmsi.ir
1
admin
1735-4463
2008-9473
8
10.61186/ijmsi
14
8888
13
en
jalali
1395
1
1
gregorian
2016
4
1
11
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online
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fulltext
en
Double Integral Characterization for Bergman Spaces
تخصصي
Special
پژوهشي
Research paper
<p>‎In this paper we characterize Bergman spaces with‎ ‎respect to double integral of the functions $|f(z)‎ ‎-f(w)|/|z-w|$,‎ ‎$|f(z)‎ -‎f(w)|/rho(z,w)$ and $|f(z)‎ ‎-f(w)|/beta(z,w)$,‎ ‎where $rho$ and $beta$ are the pseudo-hyperbolic and hyperbolic metrics‎. ‎We prove some necessary and sufficient conditions that implies a function to be in Bergman spaces‎.</p>
<p></p>
Bergman spaces, Pseudo-hyperbolic metric, Hyperbolic metric, Double integral.
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34
http://ijmsi.ir/browse.php?a_code=A-10-167-1&slc_lang=en&sid=1
M.
Hassanlou
m_hasanloo@tabrizu.ac.ir
10031947532846002875
10031947532846002875
Yes
University of Tabriz
H.
Vaezi
hvaezi@tabrizu.ac.ir
10031947532846002876
10031947532846002876
No
Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran