On sharp constants in one-dimensional embedding theorems of arbitrary order

2013/08/09 by Alexander I. Nazarov, Nazarov, Alexander I.
Mathematics · #26A06 #34K13 #49J05 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:26A06 #msc:34K13 #msc:49J05

paper · pdf · doi:10.48550/arxiv.1308.2259

Translation of the paper published in Russian in the collected volume "Problems of contemporary approximation theory", St.Petersburg Univ. Publishers, 2004, 146--158. Some comments are added

arxiv created 2013/08/09 · arxiv updated 2013/08/13

Abstract

We discuss the problem where the extremal function in embedding theorem of some (generally speaking, non-integer) order is the constant function. We obtain the necessary and sufficient conditions of this.

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