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Zap. Nauchn. Sem. POMI, 2017, Volume 456, Pages 114–124 (Mi znsl6425)  

An embedding theorem with anisotropy for vector fields

S. V. Kislyakova, D. V. Maksimovb

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
b St. Petersburg Academic University — Nanotechnology Research and Education Centre of the Russian Academy of Sciences (the Academic University), St. Petersburg, Russia

Abstract: A generalization of some recent results of D. M. Stolyarov and the authors is proved.

Key words and phrases: Sobolev norms, Gagliardo–Nirenberg inequality, cyclic vector.

Funding Agency Grant Number
Russian Foundation for Basic Research 17-01-00607


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English version:
Journal of Mathematical Sciences (New York), 2018, 234:3, 343–349

UDC: 517.9
Received: 13.06.2017

Citation: S. V. Kislyakov, D. V. Maksimov, “An embedding theorem with anisotropy for vector fields”, Investigations on linear operators and function theory. Part 45, Zap. Nauchn. Sem. POMI, 456, POMI, St. Petersburg, 2017, 114–124; J. Math. Sci. (N. Y.), 234:3 (2018), 343–349

Citation in format AMSBIB
\Bibitem{KisMak17}
\by S.~V.~Kislyakov, D.~V.~Maksimov
\paper An embedding theorem with anisotropy for vector fields
\inbook Investigations on linear operators and function theory. Part~45
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 456
\pages 114--124
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6425}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 234
\issue 3
\pages 343--349
\crossref{https://doi.org/10.1007/s10958-018-4010-y}


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