Sobolev Spaces

The Sobolev spaces, i. e. the classes of functions with derivatives in L , occupy p an outstanding place in analysis. During the last two decades a substantial contribution to the study of these spaces has been made; so now solutions to many important problems connected with them are known. In the p...

Full description

Bibliographic Details
Main Author: Maz'ya, Vladimir
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1985, 1985
Edition:1st ed. 1985
Series:Springer Series in Soviet Mathematics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
LEADER 01599nmm a2200265 u 4500
001 EB000689592
003 EBX01000000000000000542674
005 00000000000000.0
007 cr|||||||||||||||||||||
008 140122 ||| eng
020 |a 9783662099223 
100 1 |a Maz'ya, Vladimir 
245 0 0 |a Sobolev Spaces  |h Elektronische Ressource  |c by Vladimir Maz'ya 
250 |a 1st ed. 1985 
260 |a Berlin, Heidelberg  |b Springer Berlin Heidelberg  |c 1985, 1985 
300 |a XIX, 488 p  |b online resource 
653 |a Mathematical analysis 
653 |a Analysis 
041 0 7 |a eng  |2 ISO 639-2 
989 |b SBA  |a Springer Book Archives -2004 
490 0 |a Springer Series in Soviet Mathematics 
028 5 0 |a 10.1007/978-3-662-09922-3 
856 4 0 |u https://doi.org/10.1007/978-3-662-09922-3?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 515 
520 |a The Sobolev spaces, i. e. the classes of functions with derivatives in L , occupy p an outstanding place in analysis. During the last two decades a substantial contribution to the study of these spaces has been made; so now solutions to many important problems connected with them are known. In the present monograph we consider various aspects of Sobolev space theory. Attention is paid mainly to the so called imbedding theorems. Such theorems, originally established by S. L. Sobolev in the 1930s, proved to be a useful tool in functional analysis and in the theory of linear and nonlinear par­ tial differential equations. We list some questions considered in this book. 1. What are the requirements on the measure f1, for the inequality q