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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

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

This article is cited in 1 paper

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.

UDC: 517

Received: 01.06.2015


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

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