Criteria of embedding of classes of Morrey type
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2015), pp. 80-85
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We show that replacing Lebesgue's norm by Morrey's seminorm in the definition of functional classes, it is possible to obtain unimprovable theorems of embedding which are additional to classical theorems in case when they are not fulfilled.
Keywords:
theorem of embedding, Morrey seminorm, Sobolev–Morrey class, Lorentz spaces.
Mots-clés : Lebesgue–Morrey class
Mots-clés : Lebesgue–Morrey class
@article{IVM_2015_5_a9,
author = {N. Temirgaliev and M. A. Zhainibekova and G. T. Dzhumakaeva},
title = {Criteria of embedding of classes of {Morrey} type},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {80--85},
publisher = {mathdoc},
number = {5},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2015_5_a9/}
}
TY - JOUR AU - N. Temirgaliev AU - M. A. Zhainibekova AU - G. T. Dzhumakaeva TI - Criteria of embedding of classes of Morrey type JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2015 SP - 80 EP - 85 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2015_5_a9/ LA - ru ID - IVM_2015_5_a9 ER -
N. Temirgaliev; M. A. Zhainibekova; G. T. Dzhumakaeva. Criteria of embedding of classes of Morrey type. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2015), pp. 80-85. http://geodesic.mathdoc.fr/item/IVM_2015_5_a9/