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Analysis III: Spaces of Differentiable Functions
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Catalogue Record 49129
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Catalogue Information
Field name
Details
Dewey Class
515
Title
Analysis III ([EBook] :) : Spaces of Differentiable Functions / / edited by S. M. Nikol’skiĭ.
Added Personal Name
Nikol’skiĭ, S. M.
editor.
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1991.
Physical Details
VII, 221 p. : online resource.
Series
Encyclopaedia of mathematical sciences
0938-0396 ; ; 26
ISBN
9783662099612
Summary Note
In 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.:
Contents note
I. 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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-662-09961-2
Links to Related Works
Subject References:
Analysis
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Analysis (Mathematics)
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Mathematical analysis
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Mathematics
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Authors:
Nikol’skiĭ, S. M.
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Corporate Authors:
SpringerLink (Online service)
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Series:
Encyclopaedia of mathematical sciences
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Classification:
515
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