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MARC 21

Analysis III: Spaces of Differentiable Functions
Tag Description
020$a9783662099612$9978-3-662-09961-2
082$a515$223
099$aOnline resource: Springer
245$aAnalysis III$h[EBook] :$bSpaces of Differentiable Functions /$cedited by S. M. Nikol’skiĭ.
260$aBerlin, Heidelberg :$bSpringer Berlin Heidelberg :$bImprint: Springer,$c1991.
300$aVII, 221 p.$bonline resource.
336$atext$btxt$2rdacontent
337$acomputer$bc$2rdamedia
338$aonline resource$bcr$2rdacarrier
440$aEncyclopaedia of Mathematical Sciences,$x0938-0396 ;$v26
505$aI. Spaces of Differentiable Functions of Several Variables and Imbedding Theorems -- II. Classes of Domains, Measures and Capacities in the Theory of Differentiable Functions -- Author Index.
520$aIn the Part at hand the authors undertake to give a presentation of the historical development of the theory of imbedding of function spaces, of the internal as well as the externals motives which have stimulated it, and of the current state of art in the field, in particular, what regards the methods employed today. The impossibility to cover all the enormous material connected with these questions inevitably forced on us the necessity to restrict ourselves to a limited circle of ideas which are both fundamental and of principal interest. Of course, such a choice had to some extent have a subjective character, being in the first place dictated by the personal interests of the authors. Thus, the Part does not constitute a survey of all contemporary questions in the theory of imbedding of function spaces. Therefore also the bibliographical references given do not pretend to be exhaustive; we only list works mentioned in the text, and a more complete bibliography can be found in appropriate other monographs. O.V. Besov, v.1. Burenkov, P.1. Lizorkin and V.G. Maz'ya have graciously read the Part in manuscript form. All their critical remarks, for which the authors hereby express their sincere thanks, were taken account of in the final editing of the manuscript.
538$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
700$aNikol’skiĭ, S. M.$eeditor.
710$aSpringerLink (Online service)
830$aEncyclopaedia of Mathematical Sciences,$x0938-0396 ;$v26
856$uhttp://dx.doi.org/10.1007/978-3-662-09961-2
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