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Zap. Nauchn. Sem. POMI, 2015, Volume 434, Pages 126–135 (Mi znsl6147)  

Dorronsoro's theorem and a slight generalization

D. M. Stolyarovabc

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
b Chebyshev Laboratory, St. Petersburg State University, St. Petersburg, Russia
c Institute of Mathematics of the Polish Academy of Sciences, Warsaw, Poland

Abstract: We give a simple proof of a theorem by Dorronsoro and use similar ideas to establish the equivalence of certain embeddings results for vector fields.

Key words and phrases: Sobolev spaces, Hardy spaces.

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English version:
Journal of Mathematical Sciences (New York), 2016, 215:5, 624–630

Bibliographic databases:

UDC: 517
Received: 01.06.2015

Citation: D. M. Stolyarov, “Dorronsoro's theorem and a slight generalization”, Investigations on linear operators and function theory. Part 43, Zap. Nauchn. Sem. POMI, 434, POMI, St. Petersburg, 2015, 126–135; J. Math. Sci. (N. Y.), 215:5 (2016), 624–630

Citation in format AMSBIB
\Bibitem{Sto15}
\by D.~M.~Stolyarov
\paper Dorronsoro's theorem and a~slight generalization
\inbook Investigations on linear operators and function theory. Part~43
\serial Zap. Nauchn. Sem. POMI
\yr 2015
\vol 434
\pages 126--135
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6147}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3493705}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2016
\vol 215
\issue 5
\pages 624--630
\crossref{https://doi.org/10.1007/s10958-016-2869-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84965010305}


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