UID:
almahu_9949462114402882
Format:
1 online resource (479 p.)
Edition:
2nd rev. and ext. ed.
ISBN:
9783110250428
,
9783110647099
Series Statement:
De Gruyter Series in Nonlinear Analysis and Applications , 14/1
Content:
This is the first part of the second revised and extended edition of the well established book "Function Spaces" by Alois Kufner, Oldřich John, and Svatopluk Fučík. Like the first edition this monograph is an introduction to function spaces defined in terms of differentiability and integrability classes. It provides a catalogue of various spaces and benefits as a handbook for those who use function spaces in their research or lecture courses. This first volume is devoted to the study of function spaces, based on intrinsic properties of a function such as its size, continuity, smoothness, various forms of a control over the mean oscillation, and so on. The second volume will be dedicated to the study of function spaces of Sobolev type, in which the key notion is the weak derivative of a function of several variables.
Note:
Frontmatter --
,
Preface --
,
Contents --
,
Chapter 1. Preliminaries --
,
Chapter 2. Spaces of smooth functions --
,
Chapter 3. Lebesgue spaces --
,
Chapter 4. Orlicz spaces --
,
Chapter 5. Morrey and Campanato spaces --
,
Chapter 6. Banach function spaces --
,
Chapter 7. Rearrangement-invariant spaces --
,
Chapter 8. Lorentz spaces --
,
Chapter 9. Generalized Lorentz-Zygmund spaces --
,
Chapter 10. Classical Lorentz spaces --
,
Chapter 11. Variable-exponent Lebesgue spaces --
,
Bibliography --
,
Index
,
Issued also in print.
,
Mode of access: Internet via World Wide Web.
,
In English.
In:
DG Studies in Nonlinear Analysis and Applications, De Gruyter, 9783110647099
In:
DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570
In:
DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471
In:
DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205
In:
E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2012, De Gruyter, 9783110288995
In:
E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2012, De Gruyter, 9783110293722
In:
E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2012, De Gruyter, 9783110288926
Additional Edition:
ISBN 9783110250411
Language:
English
DOI:
10.1515/9783110250428
URL:
https://doi.org/10.1515/9783110250428
URL:
https://www.degruyter.com/isbn/9783110250428
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