Geodesic
From the integral estimates of functions to uniform and locally averaged
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2017), pp. 15-25

Voir la notice de l'article provenant de la source Math-Net.Ru

Problems of pointwise estimates from above of a function or its averages often arise in the function theory under known integral restrictions on the growth of this function. We offer an approach to such problems based on the integral Jensen inequality with the convex function.
Keywords: holomorphic function, average value, convex function, (pluri-)subharmonic function, $\overline\partial$-problem, integral Jensen's inequality, measure space. 
@article{IVM_2017_10_a2,
     author = {R. A. Baladai and B. N. Khabibullin},
     title = {From the integral estimates of functions to uniform and locally averaged},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {15--25},
     publisher = {mathdoc},
     number = {10},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2017_10_a2/}
}
TY  - JOUR
AU  - R. A. Baladai
AU  - B. N. Khabibullin
TI  - From the integral estimates of functions to uniform and locally averaged
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2017
SP  - 15
EP  - 25
IS  - 10
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2017_10_a2/
LA  - ru
ID  - IVM_2017_10_a2
ER  - 
%0 Journal Article
%A R. A. Baladai
%A B. N. Khabibullin
%T From the integral estimates of functions to uniform and locally averaged
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2017
%P 15-25
%N 10
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2017_10_a2/
%G ru
%F IVM_2017_10_a2
R. A. Baladai; B. N. Khabibullin. From the integral estimates of functions to uniform and locally averaged. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2017), pp. 15-25. http://geodesic.mathdoc.fr/item/IVM_2017_10_a2/