Welcome to Central Library, SUST

Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals (Record no. 45217)

MARC details
000 -LEADER
fixed length control field 03771nam a22005177a 4500
001 - CONTROL NUMBER
control field sulb-eb0023125
003 - CONTROL NUMBER IDENTIFIER
control field BD-SySUS
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20160413122335.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 121029s2013 sz | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783034804691
-- 978-3-0348-0469-1
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-3-0348-0469-1
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA331.5
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBKB
Source bicssc
Subject category code MAT034000
Source bisacsh
Subject category code MAT037000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.8
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Kislyakov, Sergey.
Relator term author.
245 10 - TITLE STATEMENT
Title Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals
Medium [electronic resource] /
Statement of responsibility, etc. by Sergey Kislyakov, Natan Kruglyak.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Basel :
Name of producer, publisher, distributor, manufacturer Springer Basel :
-- Imprint: Birkhäuser,
Date of production, publication, distribution, manufacture, or copyright notice 2013.
300 ## - PHYSICAL DESCRIPTION
Extent X, 322 p.
Other physical details online resource.
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
347 ## - DIGITAL FILE CHARACTERISTICS
File type text file
Encoding format PDF
Source rda
490 1# - SERIES STATEMENT
Series statement Monografie Matematyczne ;
Volume/sequential designation 74
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Preface -- Introduction -- Definitions, notation, and some standard facts -- Part 1. Background -- Chapter 1. Classical Calderón–Zygmund decomposition and real interpolation -- Chapter 2. Singular integrals -- Chapter 3. Classical covering theorems -- Chapter 4. Spaces of smooth functions and operators on them -- Chapter 5. Some topics in interpolation -- Chapter 6. Regularization for Banach spaces -- Chapter 7. Stability for analytic Hardy spaces -- Part 2. Advanced theory -- Chapter 8. Controlled coverings -- Chapter 9. Construction of near-minimizers -- Chapter 10. Stability of near-minimizers -- Chapter 11. The omitted case of a limit exponent -- Chapter A. Appendix. Near-minimizers for Brudnyi and Triebel–Lizorkin spaces -- Notes and remarks -- Bibliography -- Index.
520 ## - SUMMARY, ETC.
Summary, etc. In this book we suggest a unified method of constructing near-minimizers for certain important functionals arising in approximation, harmonic analysis and ill-posed problems and most widely used in interpolation theory. The constructions are based on far-reaching refinements of the classical Calderón–Zygmund decomposition. These new Calderón–Zygmund decompositions in turn are produced with the help of new covering theorems that combine many remarkable features of classical results established by Besicovitch, Whitney and Wiener. In many cases the minimizers constructed in the book are stable (i.e., remain near-minimizers) under the action of Calderón–Zygmund singular integral operators. The book is divided into two parts. While the new method is presented in great detail in the second part, the first is mainly devoted to the prerequisites needed for a self-contained presentation of the main topic. There we discuss the classical covering results mentioned above, various spectacular applications of the classical Calderón–Zygmund decompositions, and the relationship of all this to real interpolation. It also serves as a quick introduction to such important topics as spaces of smooth functions or singular integrals.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Approximation theory.
Topical term or geographic name as entry element Functional analysis.
Topical term or geographic name as entry element Functions of real variables.
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Real Functions.
Topical term or geographic name as entry element Approximations and Expansions.
Topical term or geographic name as entry element Functional Analysis.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Kruglyak, Natan.
Relator term author.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9783034804684
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Monografie Matematyczne ;
Volume number/sequential designation 74
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="http://dx.doi.org/10.1007/978-3-0348-0469-1">http://dx.doi.org/10.1007/978-3-0348-0469-1</a>
912 ## -
-- ZDB-2-SMA
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type

No items available.