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  • 1
    Online Resource
    Online Resource
    Sobolev spaces / (2003)
    Amsterdam :Academic Press,
    Details
    UID:
    almahu_BV043044374
    Format: 1 Online-Ressource (xiii, 305 pages).
    Edition: 2. ed.
    ISBN: 978-1-4356-0810-8 , 1-4356-0810-0 , 978-0-08-054129-7 , 0-08-054129-1 , 978-0-12-044143-3 , 0-12-044143-8
    Series Statement: Pure and applied mathematics (Academic Press) v. 140
    Note: Includes bibliographical references (pages 295-300) and index. - * Includes reviews of real analysis and an extensive treatment of Lebesgue spaces. -- * Develops at length the intrinsic definition and properties of Sobolev spaces, in particular their imbedding, compact imbedding, interpolation and extension properties. -- * Provides a thorough treatment of the real interpolation method and its application to Lorentz and Besov spaces. -- * Includes surveys of other fractional-order spaces (Bessel potentials, Triebel-Lizorkin). -- * Develops the theory of Orlicz and Orlicz-Sobolev spaces and their imbeddings. - Sobolev Spaces presents an introduction to the theory of Sobolev Spaces and other related spaces of function, also to the imbedding characteristics of these spaces. This theory is widely used in pure and Applied Mathematics and in the Physical Sciences. This second edition of Adam's 'classic' reference text contains many additions and much modernizing and refining of material. The basic premise of the book remains unchanged: Sobolev Spaces is intended to provide a solid foundation in these spaces for graduate students and researchers alike. * Self-contained and accessible for readers in other disciplines. * Written at elementary level making it accessible to graduate students
    Language: English
    Subjects: Mathematics
    RVK:
    SK 600
    Keywords: Sobolev-Raum
    URL: Volltext
    URL: Volltext
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Online Access
    HU Berlin
    HWR Berlin
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    HTW Berlin
    TH Wildau
    BTU Cottbus
    BHT
  • 2
    Book
    Book
    Sobolev spaces / (2008)
    Amsterdam [u.a.] :Acad. Press,
    Details
    UID:
    almafu_BV035041041
    Format: XIII, 305 S. : , graph. Darst.
    Edition: 2. ed., reprint.
    ISBN: 0-12-044143-8 , 978-0-12-044143-3 , 978-0-12-395841-9
    Series Statement: Pure and applied mathematics 140
    Note: Hier auch später erschienene, unveränderte Nachdrucke
    Language: English
    Subjects: Mathematics
    RVK:
    SK 600
    Keywords: Sobolev-Raum ; Einführung
    URL: http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016709858&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
    URL: http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016709858&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
    URL: Inhaltsverzeichnis
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  • 3
    Online Resource
    Online Resource
    Sobolev spaces / (2003)
    Amsterdam :Academic Press,
    Details
    UID:
    almahu_9947366148402882
    Format: 1 online resource (321 p.)
    Edition: 2nd ed.
    ISBN: 1-281-07246-X , 9786611072469 , 0-08-054129-1 , 1-4356-0810-0
    Series Statement: Pure and applied mathematics ; v. 140
    Content: Sobolev Spaces presents an introduction to the theory of Sobolev Spaces and other related spaces of function, also to the imbedding characteristics of these spaces. This theory is widely used in pure and Applied Mathematics and in the Physical Sciences.This second edition of Adam's 'classic' reference text contains many additions and much modernizing and refining of material. The basic premise of the book remains unchanged: Sobolev Spaces is intended to provide a solid foundation in these spaces for graduate students and researchers alike.* Self-contained and acc
    Note: Description based upon print version of record. , Front Cover; SOBOLEV SPACES; Copyright Page; CONTENTS; Preface; List of Spaces and Norms; CHAPTER 1. PRELIMINARIES; Notation; Topological Vector Spaces; Normed Spaces; Spaces of Continuous Functions; The Lebesgue Measure in Rn; The Lebesgue Integral; Distributions and Weak Derivatives; CHAPTER 2. THE LEBESGUE SPACES Lp(Ω)́; Definition and Basic Properties; Completeness of LP (Ω)́; Approximation by Continuous Functions; Convolutions and Young's Theorem; Mollifiers and Approximation by Smooth Functions; Precompact Sets in LP (Ω); Uniform Convexity; The Normed Dual of LP (Ω); Mixed-Norm LP Spaces , Nonimbedding Theorems for Irregular DomainsImbedding Theorems for Domains with Cusps; Imbedding Inequalities Involving Weighted Norms; Proofs of Theorems 4.51-4.53; CHAPTER 5. INTERPOLATION, EXTENSION, AND APPROXIMATION THEOREMS; Interpolation on Order of Smoothness; Interpolation on Degree of Sumability; Interpolation Involving Compact Subdomains; Extension Theorems; An Approximation Theorem; Boundary Traces; CHAPTER 6. COMPACT IMBEDDINGS OF SOBOLEV SPACES; The Rellich-Kondrachov Theorem; Two Counterexamples; Unbounded Domains - Compact Imbeddings of Wom'p (Ω) , An Equivalent Norm for Wom'p (Ω)Unbounded Domains m Decay at Infinity; Unbounded Domains - Compact Imbeddings of W m,p (Ω); Hilbert-Schmidt Imbeddings; CHAPTER 7. FRACTIONAL ORDER SPACES; Introduction; The Bochner Integral; Intermediate Spaces and Interpolation-The Real Method; The Lorentz Spaces; Besov Spaces; Generalized Spaces of Hölder Continuous Functions; Characterization of Traces; Direct Characterizations of Besov Spaces; Other Scales of Intermediate Spaces; Wavelet Characterizations; CHAPTER 8. ORLICZ SPACES AND ORLICZ-SOBOLEV SPACES; Introduction; N-Functions; Orlicz Spaces , Duality in Orlicz SpacesSeparability and Compactness Theorems; A Limiting Case of the Sobolev Imbedding Theorem; Orlicz-Sobolev Spaces; Imbedding Theorems for Orlicz-Sobolev Spaces; References; Index , English
    Additional Edition: ISBN 0-12-044143-8
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    HU Berlin
    FU Berlin
    Charité
  • 4
    Online Resource
    Online Resource
    Sobolev spaces (2003)
    Amsterdam : Academic Press
    Details
    UID:
    gbv_1684904862
    Format: Online-Ressource , xiii, 305 p , ill , 24 cm
    Edition: 2nd ed
    Edition: Online-Ausg.] Elsevier e-book collection on ScienceDirect
    ISBN: 0120441438 , 9780120441433
    Series Statement: Pure and applied mathematics v. 140
    Note: Includes bibliographical references (p. [295]-300) and index
    Additional Edition: Erscheint auch als Druck-Ausgabe Adams, Robert A., 1940 - Sobolev spaces Amsterdam : Academic Press, 2003 ISBN 0120441438
    Additional Edition: ISBN 9780120441433
    Language: English
    Subjects: Mathematics
    RVK:
    SK 600
    Keywords: Sobolev-Raum ; Sobolev-Raum
    URL: Volltext  (Deutschlandweit zugänglich)
    URL: Inhaltstext
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Online Access
    Stabi Berlin
    UB Potsdam
  • 5
    Book
    Book
    Sobolev spaces / (2003)
    Amsterdam ; Boston ; Heidelberg ; London ; New York ; Oxford ; Paris ; San Diego ; San Francisco ; Singapore ; Sydney ; Tokyo :Academic Press,
    Details
    UID:
    almahu_BV019268867
    Format: xiii, 305 Seiten : , Diagramme.
    Edition: Second Edition
    ISBN: 0-12-044143-8 , 978-0-12-044143-3
    Series Statement: Pure and applied mathematics 140
    Note: Hier auch später erschienene, unveränderte Nachdrucke
    Additional Edition: Erscheint auch als Online-Ausgabe
    Language: English
    Subjects: Mathematics
    RVK:
    SK 600
    Keywords: Sobolev-Raum
    URL: http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012032527&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
    URL: http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012032527&sequence=000005&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
    URL: Inhaltsverzeichnis
    URL: Klappentext
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  • 6
    Online Resource
    Online Resource
    Sobolev spaces / (2003)
    Amsterdam :Academic Press,
    Details
    UID:
    almafu_9958097446302883
    Format: 1 online resource (321 p.)
    Edition: 2nd ed.
    ISBN: 1-281-07246-X , 9786611072469 , 0-08-054129-1 , 1-4356-0810-0
    Series Statement: Pure and applied mathematics ; v. 140
    Content: Sobolev Spaces presents an introduction to the theory of Sobolev Spaces and other related spaces of function, also to the imbedding characteristics of these spaces. This theory is widely used in pure and Applied Mathematics and in the Physical Sciences.This second edition of Adam's 'classic' reference text contains many additions and much modernizing and refining of material. The basic premise of the book remains unchanged: Sobolev Spaces is intended to provide a solid foundation in these spaces for graduate students and researchers alike.* Self-contained and acc
    Note: Description based upon print version of record. , Front Cover; SOBOLEV SPACES; Copyright Page; CONTENTS; Preface; List of Spaces and Norms; CHAPTER 1. PRELIMINARIES; Notation; Topological Vector Spaces; Normed Spaces; Spaces of Continuous Functions; The Lebesgue Measure in Rn; The Lebesgue Integral; Distributions and Weak Derivatives; CHAPTER 2. THE LEBESGUE SPACES Lp(Ω)́; Definition and Basic Properties; Completeness of LP (Ω)́; Approximation by Continuous Functions; Convolutions and Young's Theorem; Mollifiers and Approximation by Smooth Functions; Precompact Sets in LP (Ω); Uniform Convexity; The Normed Dual of LP (Ω); Mixed-Norm LP Spaces , Nonimbedding Theorems for Irregular DomainsImbedding Theorems for Domains with Cusps; Imbedding Inequalities Involving Weighted Norms; Proofs of Theorems 4.51-4.53; CHAPTER 5. INTERPOLATION, EXTENSION, AND APPROXIMATION THEOREMS; Interpolation on Order of Smoothness; Interpolation on Degree of Sumability; Interpolation Involving Compact Subdomains; Extension Theorems; An Approximation Theorem; Boundary Traces; CHAPTER 6. COMPACT IMBEDDINGS OF SOBOLEV SPACES; The Rellich-Kondrachov Theorem; Two Counterexamples; Unbounded Domains - Compact Imbeddings of Wom'p (Ω) , An Equivalent Norm for Wom'p (Ω)Unbounded Domains m Decay at Infinity; Unbounded Domains - Compact Imbeddings of W m,p (Ω); Hilbert-Schmidt Imbeddings; CHAPTER 7. FRACTIONAL ORDER SPACES; Introduction; The Bochner Integral; Intermediate Spaces and Interpolation-The Real Method; The Lorentz Spaces; Besov Spaces; Generalized Spaces of Hölder Continuous Functions; Characterization of Traces; Direct Characterizations of Besov Spaces; Other Scales of Intermediate Spaces; Wavelet Characterizations; CHAPTER 8. ORLICZ SPACES AND ORLICZ-SOBOLEV SPACES; Introduction; N-Functions; Orlicz Spaces , Duality in Orlicz SpacesSeparability and Compactness Theorems; A Limiting Case of the Sobolev Imbedding Theorem; Orlicz-Sobolev Spaces; Imbedding Theorems for Orlicz-Sobolev Spaces; References; Index , English
    Additional Edition: ISBN 0-12-044143-8
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Online Resource
    FU Berlin
    Charité
  • 7
    Book
    Book
    Sobolev spaces (2003)
    Amsterdam : Academic Press
    Details
    UID:
    gbv_368869784
    Format: XIII, 305 S. , graph. Darst. , 24 cm
    Edition: 2. ed.
    ISBN: 0120441438 , 9780120441433
    Series Statement: Pure and applied mathematics 140
    Note: *Hier auch später erschienene, unveränderte Nachdrucke* , Hier auch später erschienene, unveränderte Nachdrucke
    Additional Edition: Erscheint auch als Online-Ausgabe Adams, Robert Alexander, - 1940- Sobolev spaces Amsterdam : Academic Press, 2003 ISBN 0120441438
    Additional Edition: ISBN 9780120441433
    Additional Edition: Online-Ausg. Adams, Robert A., 1940 - Sobolev spaces Amsterdam [u.a.] : Academic Press, 2003 ISBN 9781435608108
    Additional Edition: ISBN 1435608100
    Additional Edition: ISBN 9780080541297
    Additional Edition: ISBN 0080541291
    Additional Edition: ISBN 9780120441433
    Additional Edition: ISBN 0120441438
    Language: English
    Subjects: Mathematics
    RVK:
    SK 600
    Keywords: Sobolev-Raum ; Sobolev-Raum
    URL: Inhaltsverzeichnis
    URL: Inhaltstext
    Library Location Call Number Volume/Issue/Year Availability
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    Book
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  • 8
    Book
    Book
    Sobolev spaces (2007)
    Amsterdam [u.a.] : Acad. Press
    Details
    UID:
    b3kat_BV023019582
    Format: XIII, 305 S. , graph. Darst.
    Edition: 2. ed., reprint.
    ISBN: 0120441438 , 9780120441433
    Series Statement: Pure and applied mathematics 140
    Language: English
    Subjects: Mathematics
    RVK:
    SK 600
    Keywords: Sobolev-Raum
    URL: Inhaltsverzeichnis
    Library Location Call Number Volume/Issue/Year Availability
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  • 9
    Book
    Book
    Sobolev spaces (2005)
    Amsterdam : Academic Press
    Details
    UID:
    b3kat_BV021262649
    Format: xiii, 305 Seiten , Diagramme
    Edition: second edition, reprinted
    ISBN: 0120441438 , 9780120441433
    Series Statement: Pure and applied mathematics 140
    Language: English
    Subjects: Mathematics
    RVK:
    SK 600
    Keywords: Sobolev-Raum
    Library Location Call Number Volume/Issue/Year Availability
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    Book
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  • 10
    Book
    Book
    Sobolev spaces (2006)
    Amsterdam : Academic Press
    Details
    UID:
    gbv_521062446
    Format: XIII, 305 S , graph. Darst
    Edition: Reprinted 2. ed
    ISBN: 0120441438 , 9780120441433
    Series Statement: Pure and applied mathematics 140
    Note: Literaturverz. S. [295] - 300
    Language: English
    Subjects: Mathematics
    RVK:
    SK 600
    Keywords: Sobolev-Raum ; Sobolev-Raum
    URL: Inhaltsverzeichnis
    Library Location Call Number Volume/Issue/Year Availability
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