This article is cited in 2 scientific papers (total in 2 papers)
Growth of a mixed derivative of a function of C ( l 1 , l 2 ) C ( l 1 , l 2 )
O. V. Besov Steklov Mathematical Institute, Academy of Sciences of the USSR
Abstract:
For a function f ( x , y ) f ( x , y ) with the continuous derivatives D l 1 1 f D 1 l 1 f , D l 2 2 f D 2 l 2 f we estimate the growth of the mixed derivative D α f D α f ( α 1 l 1 + α 2 l 2 = 1 ) ( α 1 l 1 + α 2 l 2 = 1 ) . We consider generalizations and related problems.
Received: 15.02.1973
Citation:
O. V. Besov, “Growth of a mixed derivative of a function of C ( l 1 , l 2 ) C ( l 1 , l 2 ) ”, Mat. Zametki , 15 :3 (1974), 355–362 ; Math. Notes , 15 :3 (1974), 201–206
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