Geodesic
Dorronsoro's theorem and a~slight generalization
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 43, Tome 434 (2015), pp. 126-135

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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. 
@article{ZNSL_2015_434_a10,
     author = {D. M. Stolyarov},
     title = {Dorronsoro's theorem and a~slight generalization},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {126--135},
     publisher = {mathdoc},
     volume = {434},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2015_434_a10/}
}
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D. M. Stolyarov. Dorronsoro's theorem and a~slight generalization. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 43, Tome 434 (2015), pp. 126-135. http://geodesic.mathdoc.fr/item/ZNSL_2015_434_a10/