Geodesic
Embedding theorems for weighted classes of harmonic and analytic functions
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part V, Tome 47 (1974), pp. 120-137 
V. L. Oleinik. Embedding theorems for weighted classes of harmonic and analytic functions. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part V, Tome 47 (1974), pp. 120-137. http://geodesic.mathdoc.fr/item/ZNSL_1974_47_a7/
@article{ZNSL_1974_47_a7,
     author = {V. L. Oleinik},
     title = {Embedding theorems for weighted classes of harmonic and analytic functions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {120--137},
     year = {1974},
     volume = {47},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1974_47_a7/}
}
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TI  - Embedding theorems for weighted classes of harmonic and analytic functions
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 1974
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VL  - 47
UR  - http://geodesic.mathdoc.fr/item/ZNSL_1974_47_a7/
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ID  - ZNSL_1974_47_a7
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%J Zapiski Nauchnykh Seminarov POMI
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%P 120-137
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%U http://geodesic.mathdoc.fr/item/ZNSL_1974_47_a7/
%G ru
%F ZNSL_1974_47_a7

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The inequality \[ (\int_\Omega|u|^qd\mu)^{1/q} \leq C (\int_\Omega|u|^p\rho d\lambda)^{1/p}, \tag{1} \] is established for analytic (harmonic) functions. Here $\rho$ is a continuous weight functions, $\lambda$ the Lebesgue measure and $\mu$ – a Borel measure. Necessary and sufficient conditions on the measure $\mu$ are given for some concrete $\Omega$ and $\rho$.