Envelopes and sharp embeddings of function spaces. (©2007)

• Record Type: Book
• Further Information: Note: Dorothee D. Haroske.
• Other Names: Haroske, Dorothee
• Contents: Preface ; DEFINITION, BASIC PROPERTIES, AND FIRST EXAMPLES ; Introduction ; Preliminaries, Classical Function Spaces ; Non-increasing rearrangements Lebesgue and Lorentz spaces; Spaces of continuous functions; Sobolev spaces; Sobolev’s embedding theorem; The Growth Envelope Function E G ; Definition and basic properties; Examples: Lorentz spaces; Connection with the fundamental function; Further examples: Sobolev spaces, weighted Lp -spaces; Growth Envelopes EG ; Definition; Examples: Lorentz spaces, Sobolev spaces; The Continuity Envelope Function E C ; Definition and basic properties; Some lift property; Examples: Lipschitz spaces, Sobolev spaces; Continuity Envelopes EC ; Definition; Examples: Lipschitz spaces, Sobolev spaces; RESULTS IN FUNCTION SPACES AND APPLICATIONS ; Function Spaces and Embeddings ; Spaces of type Bs p, q, Fs p, q ; Embeddings; Growth Envelopes EG ; Growth envelopes in the sub-critical case; Growth envelopes in sub-critical borderline cases; Growth envelopes in the critical case; Continuity Envelopes EC ; Continuity envelopes in the super-critical case; Continuity envelopes in the super-critical borderline case; Continuity envelopes in the critical case; Envelope Functions E G and E C Revisited ; Spaces on R+ ; Enveloping functions; Global versus local assertions; Applications ; Hardy inequalities and limiting embeddings; Envelopes and lifts; Compact embeddings; References ; Symbols ; Index ; List of Figures
• Publisher Details: Boca Raton, FL : Chapman & Hall/CRC
• Publication Date: 2007
• Copyright Date: 2007
• Extent: 1 online resource (x, 222 pages), illustrations
• Subjects: 515/.73; Function spaces; Envelopes (Geometry); Embeddings (Mathematics); MATHEMATICS -- Transformations; Embeddings (Mathematics); Envelopes (Geometry); Function spaces; Funktionalanalysis; Einhüllende Algebra; Einbettung; Electronic books
• Languages: English
• ISBNs: 9781584887515; 1584887516; 1584887508; 9781584887508
• Notes: Note: Includes bibliographical references (pages 211-222).; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.